MCQ 11 Mark
Which one of the following symbols represents a photodiode?
- A(1)
- B(4)
- C(2)
- ✓(3)
Answer
View full question & answer→Correct option: D.
(3)
D
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150 questions · auto-graded multiple-choice test.
MCQ 21 Mark
In common emitter mode of transistor, the d.c. current gain is 20, the emitter current is 7 mA. The collector current is ______.
- A8/3 mA
- B16/3 mA
- C13/3 mA
- ✓20/3 mA
Answer
View full question & answer→Correct option: D.
20/3 mA
D
MCQ 31 Mark
In hydrogen atom, during the transition of electron from $n^{th} $ outer orbit to first Bohr orbit, a photon of wavelength $\lambda$ is emitted. The value of $'n\ '$ is $[R =$Rydberg's constant$]......$
- A$\sqrt{\lambda R (\lambda R -1)}$
- ✓$\sqrt{\frac{\lambda R }{\lambda R -1}}$
- C$\sqrt{\frac{\lambda R -1}{\lambda R }}$
- D$\sqrt{\lambda( R -1)}$
Answer
View full question & answer→Correct option: B.
$\sqrt{\frac{\lambda R }{\lambda R -1}}$
$\sqrt{\frac{\lambda R }{\lambda R -1}}$
MCQ 41 Mark
In hydrogen atom, the product of the angular momentum and the linear momentum of the electron is proportional to $(n =$ principal quantum number $) .......$
- A$n^3$
- ✓$n^0$
- C$n^1$
- D$n^2$
Answer
View full question & answer→Correct option: B.
$n^0$
$n^0$
MCQ 51 Mark
If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is ____________.
- ✓75
- B25
- C5
- D50
Answer
View full question & answer→Correct option: A.
75
A
MCQ 61 Mark
In photoelectric experiment, if both the intensity and frequency of the incident light are doubled, then the saturation of photoelectric current ______.
- Aremain same
- Bis halved
- Cbecomes four times
- ✓is doubled
Answer
View full question & answer→Correct option: D.
is doubled
D
MCQ 71 Mark
An e.m.f. $E = E_0$_ \sin $\Omega$t is applied to a circuit containing $'L'$ and $'R'$ in series. If $X_L = R,$ then the power dissipated in the circuit is $........$
- A$\frac{ E _0^2}{2 R }$
- ✓$\frac{ E _0^2}{4 R }$
- C$\frac{ E _0}{4 R }$
- D$\frac{ E _0}{2 R }$
Answer
View full question & answer→Correct option: B.
$\frac{ E _0^2}{4 R }$
$\frac{ E _0^2}{4 R }$
MCQ 81 Mark
The inductive reactance of a coil is 1500 n. If its inductance and the frequency of A.C. supply are both doubled, then the reactance will become ______.
- ✓6000 $\Omega$
- B16000 $\Omega$
- C8000 $\Omega$
- D4000 $\Omega$
Answer
View full question & answer→Correct option: A.
6000 $\Omega$
A
MCQ 91 Mark
A transformer having efficiency of 80% is working on 200 V and 6 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil respectively are ____________.
- A300 V, 15 A
- B600 V, 15 A
- ✓800 V, 30 A
- D450 V, 30 A
Answer
View full question & answer→Correct option: C.
800 V, 30 A
C
MCQ 101 Mark
In mutual induction, the main current remains same because ____________.
- Ainduced current is produced in both primary and secondary coil
- ✓induced current is produced in secondary coil
- Cinduced current is not produced
- Dinduced current is produced in primary coil
Answer
View full question & answer→Correct option: B.
induced current is produced in secondary coil
B
MCQ 111 Mark
A sphere of gold when brought towards a powerful magnet experiences ____________.
- Anuclear force
- Bzero force
- ✓repulsive force
- Dattractive force
Answer
View full question & answer→Correct option: C.
repulsive force
C
MCQ 121 Mark
Magnetic moment of revolving electron of charge 'e' and mass 'm' in terms of angular momentum 'L' of electron is ____________.
- ✓$\frac{ eL }{2 m }$
- B$\frac{2 mL }{ e ^2}$
- C$\frac{2 mL }{ e }$
- D$\frac{ e }{2 mL }$
Answer
View full question & answer→Correct option: A.
$\frac{ eL }{2 m }$
A
MCQ 131 Mark
If the net magnetic force acting on a loop is zero then ____________.
- Ano torque acts on loop
- ✓torque may or may not act on the loop
- Cboth no torque acts on loop and loop performs translational motion
- Dloop performs translational motion
Answer
View full question & answer→Correct option: B.
torque may or may not act on the loop
B
MCQ 141 Mark
A particle with charge q moves with a velocity v in a direction perpendicular to the directions of uniform electric and magnetic fields, E and B respectively, which are mutually perpendicular to each other. Which one of the following gives the condition for which the particle moves undeflected in its original trajectory?
p>
p>
- A$v =\frac{ B }{ E }$
- ✓$v =\frac{ E }{ B }$
- C$v = q \frac{ B }{ E }$
- D$v=\sqrt{\frac{E}{B}}$
Answer
View full question & answer→Correct option: B.
$v =\frac{ E }{ B }$
B
MCQ 151 Mark
In a meter bridge experiment, to minimize an error due to contact resistance, ______
- Aincrease the current flowing through meter bridge wire
- ✓repeat the experiment by interchanging the resistance in gaps
- Cuse non-uniform meter bridge wire
- Dchanging the value of known resistance in the gap
Answer
View full question & answer→Correct option: B.
repeat the experiment by interchanging the resistance in gaps
B
MCQ 161 Mark
When the value of R in the balanced Wheatstone bridge, shown in the figure, is increased from 5 $\Omega$ to 7 $\Omega$, the value of s has to be increased by 3$\Omega$ in order to maintain the balance. What is the initial value of S?
- ✓7.5 $\Omega$
- B3 $\Omega$
- C5 $\Omega$
- D2.5 $\Omega$
Answer
View full question & answer→Correct option: A.
7.5 $\Omega$
A
MCQ 171 Mark
Figure shows plot of charge versus potential difference for four parallel plate capacitors, which have same plate area, dielectric medium but different distance between the plates. Which one of them have smallest plate distance?
- A3
- B2
- ✓4
- D1
Answer
View full question & answer→Correct option: C.
4
C
MCQ 181 Mark
The minimum value of effective capacitance that can be obtained by combining 3 capacitors of capacitances 1 pF, 2 pF and 4 pF is ____________.
- A$\frac{7}{4} pF$
- B1 pF
- C2 pF
- ✓$\frac{4}{7} pF$
Answer
View full question & answer→Correct option: D.
$\frac{4}{7} pF$
D
MCQ 191 Mark
Two parallel plates separated by a distance 'd' are kept at potential difference 'V' volt. A charge 'q' of mass 'm' enters in parallel plates with some velocity. The acceleration of the charged particle will be ______
- A$\frac{q m}{V d}$
- B$\frac{q d}{V m}$
- ✓$\frac{q V}{d m}$
- D$\frac{m d}{V g}$
Answer
View full question & answer→Correct option: C.
$\frac{q V}{d m}$
C
MCQ 201 Mark
Two waves with same amplitude and frequency superpose at a point. The ratio of resultant intensities when they arrive in phase to that when they arrive 90° out of phase is ______.
$\left[\cos \frac{\pi}{2}=0\right]$
$\left[\cos \frac{\pi}{2}=0\right]$
- A4 : 1
- ✓2 : 1
- C1 : 2
- D$\sqrt{2}: 1$
Answer
View full question & answer→Correct option: B.
2 : 1
B
MCQ 211 Mark
In a double slit experiment, the two slits are 2 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
- A0.04 mm
- B0.5 mm
- ✓0.4 mm
- D0.1 mm
Answer
View full question & answer→Correct option: C.
0.4 mm
C
MCQ 221 Mark
Monochromatic light of wavelength λ is incident on the plane reflecting surface. After reflection, its wavelength will be ______
- Adoubled
- Bquadrupled
- ✓same
- Dreduced to half
Answer
View full question & answer→Correct option: C.
same
C
MCQ 231 Mark
If the length and diameter of a wire are decreased, then for the same tension the natural frequency of stretched wire will ______.
- Adecrease
- ✓increase
- Cbecome zero
- Dnot change
Answer
View full question & answer→Correct option: B.
increase
B
MCQ 241 Mark
A glass tube is open at both ends. A tuning fork of frequency f resonates with the air column inside the tube. Now the tube is placed vertically inside water so that half the length of the tube is filled with water. Now that air column inside the tube is in unison with another fork of frequency f, ____________.
- Af' = 2f
- ✓f' = f
- C$f^{\prime}=\frac{f}{2}$
- Df' = 4f
Answer
View full question & answer→Correct option: B.
f' = f
B
MCQ 251 Mark
A sonometer wire resonates with a given tuning fork forming standing wave with 5 antinodes between two bridges when mass of 9 kg is suspended from the wire. When mass 'M' is suspended from the wire, with same fork and same length between two bridges 3 antinodes are formed. Mass M is ______.
- A
20 kg
- B15 kg
- ✓25 kg
- D10 kg
Answer
View full question & answer→Correct option: C.
25 kg
C
MCQ 261 Mark
A particle starts from mean position and performs S.H.M. with period 6 second. At what time its kinetic energy is 50% of total energy?
$\left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)$
$\left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)$
- A0.25 second
- ✓0.75 second
- C0.50 second
- D1 second
Answer
View full question & answer→Correct option: B.
0.75 second
B
MCQ 271 Mark
A body oscillates simply harmonically with a period of 2 seconds, starting from the origin. Its kinetic energy will be 75% of the total energy after time ______
$\left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\right)$
$\left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\right)$
- ✓$\frac{1}{6} s$
- B$\frac{1}{4} s$
- C$\frac{1}{3} s$
- D$\frac{1}{12} s$
Answer
View full question & answer→Correct option: A.
$\frac{1}{6} s$
A
MCQ 281 Mark
The amplitude of sound is doubled and the frequency is reduced to one fourth. The intensity of sound at the same point will be ____________.
- Aincreased to double
- Bdecreased to half
- ✓decreased to one fourth
- Dincreased to four times
Answer
View full question & answer→Correct option: C.
decreased to one fourth
C
MCQ 291 Mark
In an isothermal process, the volume of an ideal gas is halved. One can say that ____________.
- Ainternal energy of the system increases
- Bwork done by the gas is positive
- Cinternal energy of the system decreases
- ✓work done by the gas is negative
Answer
View full question & answer→Correct option: D.
work done by the gas is negative
D
MCQ 301 Mark
Surface tension of a liquid is numerically equal to ______.
- ✓surface energy per unit area.
- Bsurface energy.
- Csurface energy per unit length.
- Dsurface energy per unit volume.
Answer
View full question & answer→Correct option: A.
surface energy per unit area.
A
MCQ 311 Mark
The isothermal bulk modulus of a perfect gas at pressure P is numerically equal to ____________.
- A$p \gamma$
- B$P ^\gamma$
- ✓P
- D$\frac{ P }{\gamma}$
Answer
View full question & answer→Correct option: C.
P
C
MCQ 321 Mark
A black sphere has radius 'R' whose rate of radiation is 'E' at temperature 'T'. If radius is made $\frac{\bar{R}}{3}$ and temperature '3T', the rate of radiation will be ______.
- ✓9E
- BE
- C3E
- D6E
Answer
View full question & answer→Correct option: A.
9E
A
MCQ 331 Mark
For a gas $\frac{ R }{ C _{ v }}=0.4$, where $'R'$ is the universal gas constant and $'C_v'$ is molar specific heat at constant volume. The gas is made up of molecules which are $......$
- Amonoatomic
- Bnon$-$rigid diatomic
- Cpolyatomic
- ✓rigid diatomic
Answer
View full question & answer→Correct option: D.
rigid diatomic
rigid diatomic
MCQ 341 Mark
The average translational kinetic energy of a molecule in a gas becomes equal to $0.49 eV$ at a temperature about $($ Boltzmann constant $= 1.38 x 10^{-23} JK^{-1}) .......$
- A$5333^\circ C$
- B$5060^\circ C$
- C$4370^\circ C$
- ✓$3514^\circ C$
Answer
View full question & answer→Correct option: D.
$3514^\circ C$
$3514^\circ C$
MCQ 351 Mark
A soap bubble of radius 'R' is blown. After heating the solution, a second bubble of radius '2R' is blown. The work required to blow the second bubble in comparison to that required for the first bubble is ______.
- Aslightly less than double
- Bslightly more than 4 times
- Cdouble
- ✓slightly less than 4 times
Answer
View full question & answer→Correct option: D.
slightly less than 4 times
D
MCQ 361 Mark
A water film is formed between the two straight parallel wires, each of length $10 \ cm$, kept at a separation of $0.5 \ cm$. Now, the separation between them is increased by $1 mm$ without breaking the water film. The work done for this is $..........($ surface tension of water $= 7.2 x 10^{-2}Nm^{-1})$
- ✓$1.44 \times 10^{-5} J$
- B$2.88 \times 10^{-5} J$
- C$7.22 \times 10^{-6} J$
- D$5.76 \times 10^{-5} J$
Answer
View full question & answer→Correct option: A.
$1.44 \times 10^{-5} J$
$1.44 \times 10^{-5} J$
MCQ 371 Mark
The surface tension of the two liquids is respectively $20$ and $60$ dyne $cm^{-1}.$ The liquids drop from the ends of two tubes of the same radius. The ratio of the weights of the two drops is $......$
- A$3 : 4$
- B$2 : 3$
- ✓$1 : 3$
- D$1 : 2$
Answer
View full question & answer→Correct option: C.
$1 : 3$
$1 : 3$
MCQ 381 Mark
A man is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity $\omega$. The tension in the strings is F. If the length of string and angular velocity are doubled, the tension in string is now ____________.
- A4 F
- BF
- C$\frac{ F }{2}$
- ✓8 F
Answer
View full question & answer→Correct option: D.
8 F
D
MCQ 391 Mark
A uniform disc of radius ' a' and mass 'm' is rotating freely with angular speed 'ω' in a horizontal plane, about a smooth fixed vertical axis through its centre. A pa1ticle of mass 'm' is then suddenly attached to the rim of the disc and rotates with it. The new angular speed is ______
- A$\frac{\omega}{\sqrt{3}}$
- B$\frac{\omega}{\sqrt{3}}$
- C$\frac{\omega}{5}$
- ✓$\frac{\omega}{3}$
Answer
View full question & answer→Correct option: D.
$\frac{\omega}{3}$
D
MCQ 401 Mark
The maximum and minimum tensions in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3. Then its velocity is ____________.
- ✓$\sqrt{98} m / s$
- B7 m/s
- C$\sqrt{490} m / s$
- D$\sqrt{4.9} m / s$
Answer
View full question & answer→Correct option: A.
$\sqrt{98} m / s$
A
MCQ 411 Mark
A semiconductor diode rectifier ______.
- Aamplifies D.C. signals
- Bconverts D.C. into A.C.
- ✓converts A.C. into D.C.
- Damplifies A.C. signals
Answer
View full question & answer→Correct option: C.
converts A.C. into D.C.
C
MCQ 421 Mark
ABC is a right angled triangle in which AB = 3 cm and BC = 4 cm. L ABC = $\frac{\pi}{2}$. The three charges+ 15, + 12 and -20 e.s.u. are placed respectively on A, B and C. The force acting on B is ______.
- A35 dyne
- ✓25 dyne
- CZero
- D125 dyne
Answer
View full question & answer→Correct option: B.
25 dyne
B
MCQ 431 Mark
Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of refractive index 1. 7. The focal length of the combination is ______.
- A- 20 cm
- B- 25 cm
- C50 cm
- ✓- 50 cm
Answer
View full question & answer→Correct option: D.
- 50 cm
D
MCQ 441 Mark
A transverse wave is described by the equation, $y = Y_0 \sin 2\pi (ft - \frac{ x }{\lambda}).$ The maximum particle velocity is equal to four times the wave velocity if $.......$
- A$\lambda=\frac{\pi y_0}{4}$
- B$\lambda=\pi y_0$
- ✓$\lambda=\frac{\pi y_0}{2}$
- D$\lambda=2 \pi y_0$
Answer
View full question & answer→Correct option: C.
$\lambda=\frac{\pi y_0}{2}$
$\lambda=\frac{\pi y_0}{2}$
MCQ 451 Mark
The frequency of a tuning fork is 384 per second and velocity of sound in air is 352 m/s. How far the sound has traversed while fork completes 48 vibration?
- A13 m
- B23 m
- ✓44 m
- D3 m
Answer
View full question & answer→Correct option: C.
44 m
C
MCQ 461 Mark
A liquid with a certain surface area takes 10 minutes to cool from 80° C to 70° C. The time taken by it to cool from 80° C to 60° C is [The surrounding temperature being 40° C] ____________.
- A19.6 minute
- B9 minute
- ✓23.3 minute
- D13.4 minute
Answer
View full question & answer→Correct option: C.
23.3 minute
C
MCQ 471 Mark
Calculate angular velocity of earth so that acceleration due to gravity at $60^\circ $ latitude becomes zero. $($ Radius of earth $= 6400 \ km,$ gravitational acceleration at poles $= 10 m/s^2, \cos 60^\circ = 0.5)$
- ✓$2.5 \times 10^{-3} rad/s$
- B$1 \times 10^{-3} rad/s$
- C$0.5 \times 10^{-3} rad/s$
- D$7.8 \times 10^{-2} rad/s$
Answer
View full question & answer→Correct option: A.
$2.5 \times 10^{-3} rad/s$
$2.5 \times 10^{-3} rad/s$
MCQ 481 Mark
The mass and radius of earth is $'M_e\ '$ and $'R_e\ '$ respectively and that of moon is $'M_m\ '$ and $'R_m\ '$ respectively. The distance between the centre of the earth and that of moon is $'D'$. The minimum speed required for a body $($ mass $'m\ ')$ to project from a point midway between their centres to escape to infinity is $.....$
- A$\left(\frac{G D}{M_e}\right)^{\frac{1}{2}}$
- B$\sqrt{\frac{M_e+M_m}{D}}$
- ✓$2 \sqrt{\frac{G\left(M_e+M_m\right)}{D}}$
- D$\frac{G\left(M_e+M_m\right)}{2 D}$
Answer
View full question & answer→Correct option: C.
$2 \sqrt{\frac{G\left(M_e+M_m\right)}{D}}$
$2 \sqrt{\frac{G\left(M_e+M_m\right)}{D}}$
MCQ 491 Mark
The motion of a rocket in upward direction with high speed is based on the principle of conservation of ______.
- Akinetic energy
- Bangular momentum
- ✓linear momentum
- Dmass
Answer
View full question & answer→Correct option: C.
linear momentum
C
MCQ 501 Mark
The range of a projectile, when launched at an angle of 30° with the horizontal is 2 km. What is the range of the projectile, when launched at an angle of 45° with the horizontal?
- A1.5 km
- ✓2.3 km
- C0.75 km
- D6.0 km
Answer
View full question & answer→Correct option: B.
2.3 km
B
MCQ 511 Mark
The $p.m.f.$ of a $r.v.x$ is as follows:
$P(X = 1) = 5k^3, P(X = 2) = 10k – 16k^2 – 1$
$P(X = 3) = 2k, P(X = 4) = k, P(X = x) = 0$ for any other value of $x.$ Then the value of $k$ is $........$
$P(X = 1) = 5k^3, P(X = 2) = 10k – 16k^2 – 1$
$P(X = 3) = 2k, P(X = 4) = k, P(X = x) = 0$ for any other value of $x.$ Then the value of $k$ is $........$
- A$1$
- B$\frac{4}{5}$
- C$5$
- ✓$\frac{1}{5}$
Answer
View full question & answer→Correct option: D.
$\frac{1}{5}$
$\frac{1}{5}$
MCQ 521 Mark
What is the mean of f(x) = 3x + 2 where x is a random variable with probability distribution
| X=x | 1 | 2 | 3 | 4 |
| P(X=x) | $\frac{1}{6}$ | $\frac{1}{3}$ | $\frac{1}{3}$ | $\frac{1}{6}$ |
- A$\frac{15}{2}$
- B$\frac{5}{3}$
- C$\frac{19}{2}$
- ✓$\frac{5}{2}$
Answer
View full question & answer→Correct option: D.
$\frac{5}{2}$
D
MCQ 531 Mark
$X$ is a continuous random variable with a probability density function
$f(x) = \frac{x^2}{4}+k ; \quad 0 \leq x \leq 2 $
$0 ;$ otherwise .
The value of $k$ is equal to $...... .$
$f(x) = \frac{x^2}{4}+k ; \quad 0 \leq x \leq 2 $
$0 ;$ otherwise .
The value of $k$ is equal to $...... .$
- A$\frac{1}{4}$
- B$\frac{1}{3}$
- C$\frac{1}{12}$
- ✓$\frac{1}{6}$
Answer
View full question & answer→Correct option: D.
$\frac{1}{6}$
$\frac{1}{6}$
MCQ 541 Mark
If a curve y = f(x) passes through the point (1, - 1) and satisfies the differential equation, y (1 + xy) dx = x dy, then$f\left(-\frac{1}{2}\right)$ is equal to _____.
- A$-\frac{4}{5}$
- B$-\frac{2}{5}$
- C$\frac{2}{5}$
- ✓$\frac{4}{5}$
Answer
View full question & answer→Correct option: D.
$\frac{4}{5}$
D
MCQ 551 Mark
If m and n are respectively the order and degree of the differential equation of the family of parabolas with focus at the origin and X-axis as its axis, then mn - m + n = ______.
- A2
- ✓3
- C1
- D4
Answer
View full question & answer→Correct option: B.
3
B
MCQ 561 Mark
A solution of the equation $\tan^{-1}(1 + x) + \tan^{-1}(1 - x) = \frac{\pi}{2}$ is $.......$
- A$x = 1$
- B$x = \pi$
- ✓$x = 0$
- D$x = -1$
Answer
View full question & answer→Correct option: C.
$x = 0$
$x = 0$
MCQ 571 Mark
The area bounded by the curves $y = \log_ex$ and $y = (\log_ex)^2$ is $........$
- A$\frac{1}{2}(3-e)$
- B$\frac{1}{2}(e-3)$
- C$e - 3$
- ✓$3 - e$
Answer
View full question & answer→Correct option: D.
$3 - e$
$3 - e$
MCQ 581 Mark
The ratio in which the area bounded by the curves $y^2 = 8x$ and $x^2 = 8y$ is divided by the line $x = 2$ is $.......$
- A$12 : 37$
- ✓$15 : 49$
- CNone of these
- D$13 : 48$
Answer
View full question & answer→Correct option: B.
$15 : 49$
$15 : 49$
MCQ 591 Mark
Which of the following is true?
- ✓$\int_0^1 x \sqrt{x} d x=\frac{2}{5}$
- B$\int_0^1 x \sqrt{x} d x=\frac{7}{2}$
- C$\int_0^1 x \sqrt{x} d x=\frac{5}{3}$
- D$\int_0^1 x \sqrt{x} d x=\frac{7}{5}$
Answer
View full question & answer→Correct option: A.
$\int_0^1 x \sqrt{x} d x=\frac{2}{5}$
A
MCQ 601 Mark
$\int_0^1 \log \left(\frac{1}{x}-1\right) dx$ = ______.
- A$\frac{1}{3}$
- ✓0
- C$\frac{1}{2}$
- D1
Answer
View full question & answer→Correct option: B.
0
B
MCQ 611 Mark
$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \sin ^2 x d x$ = ______.
- ✓$\frac{\pi}{12}$
- B$\frac{\pi}{3}$
- C$\frac{\pi}{6}$
- D$\frac{\pi}{24}$
Answer
View full question & answer→Correct option: A.
$\frac{\pi}{12}$
A
MCQ 621 Mark
$\int e ^x\left(\frac{\cos x-\sin x}{\sin ^2 x}\right) d x = .......$.
- ✓$– e^x cosec \ x + c$
- B$– e^x \cot \ x + c$
- C$e^x cosec \ x + c$
- D$ex \cot \ x + c$
Answer
View full question & answer→Correct option: A.
$– e^x cosec \ x + c$
$– e^x cosec \ x + c$
MCQ 631 Mark
$\int \frac{ e ^x(x+1)}{\sin ^2\left(x e ^x\right)} d x$= ______.
- A$\cot \left(x e ^x\right)+ c$
- B$\tan \left(x e ^x\right)+ c$
- ✓$-\cot \left(x e ^x\right)+ c$
- D$-\tan \left(x e ^x\right)+ c$
Answer
View full question & answer→Correct option: C.
$-\cot \left(x e ^x\right)+ c$
C
MCQ 641 Mark
$\int \frac{d x}{1+e^{-x}} = ........$
- A$\log|1 - e^x| + c$
- B$2log|1 - e^x| + c$
- C$2log|1 + e^x| + c$
- ✓$\log |1 + e^x| + c$
Answer
View full question & answer→Correct option: D.
$\log |1 + e^x| + c$
$\log |1 + e^x| + c$
MCQ 651 Mark
If f(x) = $x^{\frac{3}{2}}(3 x-10)$, x ≥ 0, then f(x) is increasing in ______.
- A$(-\infty, 0] \cup(2, \infty)$
- B$(-\infty,-1) \cup[2, \infty)$
- ✓$[2, \infty)$
- D$(-\infty,-1) \cup(1, \infty)$
Answer
View full question & answer→Correct option: C.
$[2, \infty)$
C
MCQ 661 Mark
For which interval the given function $f(x) = 2x^3 – 9x^2 + 12x + 7$ is increasing?
- A$(-2, \infty)$
- ✓$(-\infty, 2)$ or $(1, \infty)$
- C$(-\infty,-2)$ or $(-1, \infty)$
- D$(-2,1)$
Answer
View full question & answer→Correct option: B.
$(-\infty, 2)$ or $(1, \infty)$
$(-\infty, 2)$ or $(1, \infty)$
MCQ 671 Mark
If y =sin (log x), then $x^2 \frac{ d ^2 y }{ dx ^2}+x \frac{ dy }{ dx }+ y$ is equal to ______.
- A1
- ✓0
- C3
- D2
Answer
View full question & answer→Correct option: B.
0
B
MCQ 681 Mark
Derivative of $\log _6$x with respect $6^x $ to is$.......$
- A$\frac{1}{6^x(\log 6)^2}$
- B$\frac{1}{x(\log 6)^2}$
- C$\frac{1}{x 6^x}$
- ✓$\frac{1}{x 6^x(\log 6)^2}$
Answer
View full question & answer→Correct option: D.
$\frac{1}{x 6^x(\log 6)^2}$
$\frac{1}{x 6^x(\log 6)^2}$
MCQ 691 Mark
If $y=\cos ^{-1}\left(\frac{x+1}{x-1}\right)+\operatorname{cosec}^{-1}\left(\frac{x-1}{x+1}\right)$, then $\frac{ d y}{ d x}$ is ______.
- ✓0
- B$\frac{x-1}{x+1}$
- C$\frac{x+1}{x-1}$
- D1
Answer
View full question & answer→Correct option: A.
0
A
MCQ 701 Mark
The feasible region of an LPP is shown in the figure. If z = 3x + 9y, then the minimum value of z occurs at ______.
- A(15, 15)
- B(0, 20)
- ✓(5, 5)
- D(0, 10)
Answer
View full question & answer→Correct option: C.
(5, 5)
C
MCQ 711 Mark
The maximum value of P = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is ______
- A120
- ✓140
- C160
- D100
Answer
View full question & answer→Correct option: B.
140
B
MCQ 721 Mark
If the angle between the line x = $\frac{ y -1}{2}=\frac{ z -3}{\lambda}$ and the plane x + 2y + 3z = 4 is $\cos ^{-1}\left(\sqrt{\frac{5}{14}}\right)$, then $\lambda$ equals.
- A$\frac{3}{2}$
- B$\frac{5}{3}$
- ✓$\frac{2}{3}$
- D$\frac{2}{5}$
Answer
View full question & answer→Correct option: C.
$\frac{2}{3}$
C
MCQ 731 Mark
If plane x + ay + z = 4 has equal intercepts on axes, then 'a' is equal to ______.
- ✓1
- B$\frac{1}{4}$
- C$\frac{1}{5}$
- D4
Answer
View full question & answer→Correct option: A.
1
A
MCQ 741 Mark
XY-plane divides the line joining the points A(2, 3, -5) and B(1, -2, -3) in the ratio ______
- A5 : 3 internally
- B3 : 2 externally
- C2 : 1 internally
- ✓5 : 3 externally
Answer
View full question & answer→Correct option: D.
5 : 3 externally
D
MCQ 751 Mark
The direction ratios 3x – 2 = 2y + 1 = 3z – 3 are ______.
- A3, –2, –3
- B3, 2, –2
- ✓2, 3, 2
- D–3, 1, 2
Answer
View full question & answer→Correct option: C.
2, 3, 2
C
MCQ 761 Mark
A point P (x, y, z) lies on the line joining points A (1, 2, 3) and B (2, 10, 1). If x co-ordinates of the point P is -1, then ______
- ✓y = -14, z = 7
- By = 7 ,z = -14
- Cy = 26, z = -3
- Dy = -1, z = -1
Answer
View full question & answer→Correct option: A.
y = -14, z = 7
A
MCQ 771 Mark
If A, B, C are the vertices of a triangle whose position vectors are $\overline{ a }, \overline{ b }, \overline{ c }$ and G is the centroid of the $\triangle A B C$, then $\overline{ GA }+\overline{ GB }+\overline{ GC }$ is ______.
- A$\frac{\overline{ a }+\overline{ b }-\overline{ c }}{3}$
- B$\frac{\overline{ a }+\overline{ b }+\overline{ c }}{3}$
- C$\bar{a}+\bar{b}+\bar{c}$
- ✓$\overline{0}$
Answer
View full question & answer→Correct option: D.
$\overline{0}$
D
MCQ 781 Mark
If the vectors $a \hat{i}+a \hat{j}+c \widehat{k}, \hat{i}+\widehat{k}, c \hat{i}+c \hat{j}+b \widehat{k}$ are coplanar, then c is ______.
- ✓G.M. of a and b
- BH.M. of a and b
- CSum of a and b
- DA.M. of a and b
Answer
View full question & answer→Correct option: A.
G.M. of a and b
A
MCQ 791 Mark
If $\bar{a}, \bar{b}$ and $\bar{c}$ are three non-coplanar vectors then $(\bar{a}+\bar{b}+\bar{c}) \cdot[(\bar{a}+\bar{b}) \times(\bar{a}+\bar{c})]$ = ______.
- ✓$-[\bar{a} \bar{b} \bar{c}]$
- B0
- C$[\bar{a} \bar{b} \bar{c}]$
- D$2[\bar{a} \bar{b} \bar{c}]$
Answer
View full question & answer→Correct option: A.
$-[\bar{a} \bar{b} \bar{c}]$
A
MCQ 801 Mark
If the slope of one of the Jines represented by $ax^2 + (2a + 1)xy + 2y^2 = 0$ be reciprocal of the slope of the other, then the slope of the lines are $.......$
- A$\frac{1}{3}, 3$
- ✓$\frac{-1}{2},-2$
- C$\frac{-1}{3},-3$
- D$\frac{3}{2}, \frac{2}{3}$
Answer
View full question & answer→Correct option: B.
$\frac{-1}{2},-2$
$\frac{-1}{2},-2$
MCQ 811 Mark
If the equation $2x^2 + xy - y^2 + x + 4y - 3 = 0$ represents a pair of lines, then the angle between them is
- ✓$\tan^{-1} (3)$
- B$\tan -1\left(\frac{3}{2}\right)$
- C$\tan -1\left(\frac{1}{3}\right)$
- D$\tan -1\left(\frac{2}{3}\right)$
Answer
View full question & answer→Correct option: A.
$\tan^{-1} (3)$
$\tan^{-1} (3)$
MCQ 821 Mark
If the equation $\lambda x^2+2 y^2-5 x y+5 x-7 y+3=0$ represents two straight lines, then the value of λ will be ______.
- ✓2
- B– 8
- C3
- D8
Answer
View full question & answer→Correct option: A.
2
A
MCQ 831 Mark
If $2 \sin^2 \theta = 3 \cos \theta$ , where $0 \leq \theta \leq 2\pi $, then $\theta =........$
- A$\frac{-2 \pi}{3}, \frac{-7 \pi}{3}$
- ✓$\frac{\pi}{3}, \frac{5 \pi}{3}$
- C$\frac{\pi}{6}, \frac{7 \pi}{6}$
- D$\frac{\pi}{3}, \frac{7 \pi}{3}$
Answer
View full question & answer→Correct option: B.
$\frac{\pi}{3}, \frac{5 \pi}{3}$
$\frac{\pi}{3}, \frac{5 \pi}{3}$
MCQ 841 Mark
In $\triangle A B C$, if a = 3, b = 4, c = 5, then sin 2B = ______.
- A$\frac{4}{5}$
- B$\frac{3}{20}$
- C$\frac{1}{50}$
- ✓$\frac{24}{20}$
Answer
View full question & answer→Correct option: D.
$\frac{24}{20}$
D
MCQ 851 Mark
The general solution of $4sin^2 x = 1$ is $..........$
- A$2 n \pi \pm \frac{\pi}{6}$
- B$n \pi-\frac{\pi}{6}$
- C$n \pi+\frac{\pi}{6}$
- ✓$n \pi \pm \frac{\pi}{6}$
Answer
View full question & answer→Correct option: D.
$n \pi \pm \frac{\pi}{6}$
$n \pi \pm \frac{\pi}{6}$
MCQ 861 Mark
The inverse of $\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$is ______.
- A$\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$
- B$-\sec ^2 \alpha\left[\begin{array}{cc}1 & -\cos \alpha \\ -\cos \alpha & 1\end{array}\right]$
- C$\operatorname{cosec} c^2\left[\begin{array}{cc}1 & -\cos \alpha \\ -\cos \alpha & 1\end{array}\right]$
- ✓$\operatorname{cosec}{ }^2 \alpha\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$
Answer
View full question & answer→Correct option: D.
$\operatorname{cosec}{ }^2 \alpha\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$
D
MCQ 871 Mark
If $\bar{a}=\hat{i}+\hat{j}+\widehat{k}, \bar{a} \cdot \bar{b}=1$ and $\bar{a} \times \bar{b}=\hat{j}-\widehat{k}$, then $\bar{b}$ = ______
- A$2 \hat{i}$
- B$2 \hat{j}-\widehat{k}$
- ✓$\hat{i}$
- D$\hat{i}-\hat{j}+\widehat{k}$
Answer
View full question & answer→Correct option: C.
$\hat{i}$
C
MCQ 881 Mark
Which of the following statements is a tautology?
- A(p ∧ q) ∧ (∼(p ∧ q))
- B(∼q ∧ p) ∧ (p ∧ ∼p)
- ✓(∼q ∧ p) ∨ (p ∨ ∼p)
- D(∼q ∧ p) ∧ q
Answer
View full question & answer→Correct option: C.
(∼q ∧ p) ∨ (p ∨ ∼p)
C
MCQ 891 Mark
If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______
- Ap ∨ (∼q ∨ t)
- ✓∼p ∨ (q ∧ t)
- C∼p ∨ (q ∧ c)
- D∼p ∧ (q ∨ t)
Answer
View full question & answer→Correct option: B.
∼p ∨ (q ∧ t)
B
MCQ 901 Mark
Which of the following quantified statement is true?
- AThe square of every real number is positive.
- BThere exists a real number whose square is negative.
- CEvery real number is rational.
- ✓There exists a real number whose square is not positive.
Answer
View full question & answer→Correct option: D.
There exists a real number whose square is not positive.
D
MCQ 911 Mark
If $f(x) = \left\{\begin{array}{l}\frac{\sqrt{1- ax }-\sqrt{1+ ax }}{ x },-1 \leq x \leq 0 \\ \frac{3 x+1}{x-2}, 0 \leq x \leq 1\end{array}\right.$ is continuous in $[-1, 1],$ then a is equal to $........$
- A$1$
- B$-1$
- C$\frac{-1}{2}$
- ✓$\frac{1}{2}$
Answer
View full question & answer→Correct option: D.
$\frac{1}{2}$
$\frac{1}{2}$
MCQ 921 Mark
lf the function f(x) satisfies $\lim _{x \rightarrow 1} \frac{2 f(x)-5}{2\left(x^2-1\right)}$ = e, then is $\lim _{x \rightarrow 1} f(x)$ ______.
- Ae
- ✓$\frac{5}{2}$
- C5
- D2
Answer
View full question & answer→Correct option: B.
$\frac{5}{2}$
B
MCQ 931 Mark
Let $F(x) = e^x, G(x) = e^{-x} and H(x) = G[F(x)],$ where $x$ is a real variable. Then $\frac{ dH }{ dx }$ at $x = 0$ is $......$
- A$- e$
- ✓$-\frac{1}{ e }$
- C$- 1$
- D$1$
Answer
View full question & answer→Correct option: B.
$-\frac{1}{ e }$
$-\frac{1}{ e }$
MCQ 941 Mark
If ${ }^{n-1} P_4:{ }^n P_5=$= 1 : 6, then n = ______.
- A$\frac{1}{6}$
- ✓6
- C12
- D$\frac{1}{12}$
Answer
View full question & answer→Correct option: B.
6
B
MCQ 951 Mark
If $(1 + ω^2)^m = (1 + ω^4)^m$ and $ω$ is an imaginary cube root of unity, then least positive integral value of $m$ is $......$
- ✓$3$
- B$4$
- C$5$
- D$6$
Answer
View full question & answer→Correct option: A.
$3$
$3$
MCQ 961 Mark
If three fair coins are tossed, where X = number of tails obtained, then Var(X) is ______
- A$\frac{1}{2}$
- B$\frac{3}{2}$
- ✓$\frac{3}{4}$
- D$\frac{2}{3}$
Answer
View full question & answer→Correct option: C.
$\frac{3}{4}$
C
MCQ 971 Mark
If the variance of $x_1, x_2, x_3, ... , x_n$ is $49,$ then the $S.D.$ of $x_1 + 7, x_2 + 7, x_3 + 7, ... , x_n + 7,$ is$......$
- A$49$
- B$14$
- ✓$7$
- D$56$
Answer
View full question & answer→Correct option: C.
$7$
$7$
MCQ 981 Mark
If $x + y + k = 0$ touches the circle $x^2 + y^2 - 2x - 4y + 3 = 0,$ then $k$ will be$......$
- A$-1, 5$
- ✓$-1, -5$
- C$1, 5$
- D$1, -5$
Answer
View full question & answer→Correct option: B.
$-1, -5$
$-1, -5$
MCQ 991 Mark
The equation $12x^2 + 7xy + ay^2+ 13x - y + 3 = 0$ represents a pair of perpendicular lines. Then the value of $'a\ '$ is $......$
- ✓$-12$
- B$-19$
- C$12$
- D$\frac{7}{2}$
Answer
View full question & answer→Correct option: A.
$-12$
$-12$
MCQ 1001 Mark
The value of $\left[\frac{1-\cos \frac{\pi}{6}+i \sin \frac{\pi}{6}}{1-\cos \frac{\pi}{6}-i \sin \frac{\pi}{6}}\right]^6$ = ______.
- A1
- B0
- ✓-1
- D2
Answer
View full question & answer→Correct option: C.
-1
C
MCQ 1011 Mark
Which of the following is CORRECT regarding nylon 2-nylon 6 and PHBV?
(I) Both are condensation polymers.
(II) Both are copolymers.
(III) Both are aliphatic polyesters.
(IV) Both are non-biodegradable.
- ✓(I), (II)
- B
- C(III), (IV)
- D(II), (III)
Answer
View full question & answer→Correct option: A.
(I), (II)
A
MCQ 1021 Mark
Identify the monomers used in the preparation of Novolac.
- APhenol and Ethanol
- BUrea and Phenol
- ✓Phenol and Methanal
- DUrea and Methanal
Answer
View full question & answer→Correct option: C.
Phenol and Methanal
C
MCQ 1031 Mark
How many moles of fructose and galactose respectively are obtained on hydrolysis of 1 mole stachyose?
- A3, 1
- ✓1, 2
- C1, 1
- D2, 2
Answer
View full question & answer→Correct option: B.
1, 2
B
MCQ 1041 Mark
All these carbohydrates contain
$
1 \longrightarrow 4 \beta
$
glycosidic linkage, EXCEPT _______.
$
1 \longrightarrow 4 \beta
$
glycosidic linkage, EXCEPT _______.
- ✓maltose
- Blactose
- Ccellulose
- Dcellobiose
Answer
View full question & answer→Correct option: A.
maltose
A
MCQ 1051 Mark
Identify the INCORRECT statement regarding Hofmann bromamide reaction.
- AIt is used to convert an amide into primary amine.
- BThe overall result of the reaction is removal of carbonyl group from the amide.
- CIt is carried out by warming the amide with bromine and concentrated aqueous KOH solution.
- ✓It is a step-up reaction.
Answer
View full question & answer→Correct option: D.
It is a step-up reaction.
D
MCQ 1061 Mark
IUPAC name of the following compound is:
- ✓N-Ethyl-N-methylpropan-2-amine
- BN, N-Dimethylethanarnine
- CN, N-Dimethylbutan-2-amine
- DN-Ethyl-N-methyl propan-1-amine
Answer
View full question & answer→Correct option: A.
N-Ethyl-N-methylpropan-2-amine
A
MCQ 1071 Mark
Which of the following is Clemmensen reduction?
- ✓$- CO -+4[ H ] \xrightarrow[\Delta]{ Zn - Hg / \text { conc } \cdot HCl }- CH _2-+ H _2 O$
- B$- CO - Cl \xrightarrow[ Pd - BaSO _4]{ H _2}- CHO + HCl$
- C
- D$- CH = O \xrightarrow[- H _2 O ]{ H _2 N - NH _2} R - CH = N - NH _2 \xrightarrow[\Delta]{ KOH / \text { ethyleneglycol }}- CH _3+ N _2$
Answer
View full question & answer→Correct option: A.
$- CO -+4[ H ] \xrightarrow[\Delta]{ Zn - Hg / \text { conc } \cdot HCl }- CH _2-+ H _2 O$
A
MCQ 1081 Mark
In Clemmensen's reaction, ketone gives ____________.
- Aalcohol
- Balkene
- ✓alkane
- Dalkyne
Answer
View full question & answer→Correct option: C.
alkane
C
MCQ 1091 Mark
What is $ \text{INCORRECT}$ about the product written in the below given reaction?
$R - CH _2- OH \xrightarrow{ PCC } R - COOH$
$R - CH _2- OH \xrightarrow{ PCC } R - COOH$
- AThe product should be $R – CH_3$ instead of $R – COOH.$
- BThe product should be an aldehyde with one carbon atom more than the reactant alcohol.
- ✓The product should be $R – CHO$ instead of $R – COOH.$
- DThe product should be $R – CO – R$ instead of $R – COOH.$
Answer
View full question & answer→Correct option: C.
The product should be $R – CHO$ instead of $R – COOH.$
The product should be $R – CHO$ instead of $R – COOH.$
MCQ 1101 Mark
The CORRECT decreasing order of boiling points for isomeric primary (1°), secondary (2°) and tertiary (3°) alcohols is ____________.
- A2° > 3° > 1°
- ✓1° > 2° > 3°
- C3° > 2° > 1°
- D2° > 1° > 3°
Answer
View full question & answer→Correct option: B.
1° > 2° > 3°
B
MCQ 1111 Mark
Which one of the following is an organometallic compound?
- A$(CH_3COO)_2Ca$
- B$C_2H_5COOAg$
- ✓$C_2H_5MgBr$
- D$C_2H_5ONa$
Answer
View full question & answer→Correct option: C.
$C_2H_5MgBr$
$C_2H_5MgBr$
MCQ 1121 Mark
Identify the INCORRECT statement.
- AChiral molecules are non-superimposable on their mirror image.
- BOptical activity is an experimentally observable property of compounds.
- ✓The term conformers refer to the optical isomers having equal and opposite optical rotation.
- DOptical activity is the consequence of chirality.
Answer
View full question & answer→Correct option: C.
The term conformers refer to the optical isomers having equal and opposite optical rotation.
C
MCQ 1131 Mark
Arrange the following anions according to the increasing order of their stability.
(I)
$
R-O^{-}
$
Alkoxide anion
Phenoxide anion
(III)
- AII > III > I
- BI > II > III
- ✓III > II > I
- DI > III > II
Answer
View full question & answer→Correct option: C.
III > II > I
C
MCQ 1141 Mark
What is systematic name of $[Co(NH_3)_4Cl_2]Cl$ ?
- ATeraammoniumcobaltchloride
- BDichlorotetraamminecobalt $(III)$ chloride
- ✓Tetramninedichlorocobalt $(III)$ chloride
- DTetraamninecobalt $(II)$ chloride
Answer
View full question & answer→Correct option: C.
Tetramninedichlorocobalt $(III)$ chloride
Tetramninedichlorocobalt $(III)$ chloride
MCQ 1151 Mark
The total number of $d$ electrons in $Cu^+$ ion is$........$
- A$9$
- B$6$
- C$4$
- ✓$10$
Answer
View full question & answer→Correct option: D.
$10$
$10$
MCQ 1161 Mark
The following statement is CORRECT EXCEPT:
- AThe second ionization enthalpy of Ca is smaller than that of K.
- ✓Ba is less electropositive than Ca.
- CThe first ionization enthalpy of Ca is higher than that of K.
- DBe has smaller atomic radius than that of Li.
Answer
View full question & answer→Correct option: B.
Ba is less electropositive than Ca.
B
MCQ 1171 Mark
The CORRECT increasing order of ionization enthalpy is ____________.
- AHe < Cl < O < F
- BHe < Cl < F < O
- ✓Cl < O < F < He
- DO < Cl < He < F
Answer
View full question & answer→Correct option: C.
Cl < O < F < He
C
MCQ 1181 Mark
What is the oxidation state of chlorine atom in chloric acid?
- A+ 1
- B+ 3
- C- 1
- ✓+ 5
Answer
View full question & answer→Correct option: D.
+ 5
D
MCQ 1191 Mark
Gas $'X\ '$ is prepared by treating sodium sulfite with dilute sulfuric acid. When gas $'X\ '$ is oxidised by dioxygen in presence of vanadium $(V)$ oxide, gas $'Y\ '$ is formed. Identify $X$ and $Y.$
- A$H_2S, SO_3$
- B$SO_3, SO_2$
- C$H_2S, SO_2$
- ✓$SO_2, SO_3$
Answer
View full question & answer→Correct option: D.
$SO_2, SO_3$
$SO_2, SO_3$
MCQ 1201 Mark
Which among the following is pale yellow gas?
- A$Br_2$
- B$I_2$
- ✓$F_2$
- D$Cl_2$
Answer
View full question & answer→Correct option: C.
$F_2$
$F_2$
MCQ 1211 Mark
The oxidation state of halogen atom in perhalic acid and hypohalous acid are respectively ____________.
- A+1, +5
- ✓+7, +1
- C+5, +1
- D+7, +3
Answer
View full question & answer→Correct option: B.
+7, +1
B
MCQ 1221 Mark
____________ and ____________ are the rarest elements of the group 18.
- ✓Argon, radon
- BXenon, helium
- CXenon, radon
- DHelium, argon
Answer
View full question & answer→Correct option: A.
Argon, radon
A
MCQ 1231 Mark
In a reaction
$N _{2( g )}+3 H _{2( g )} \longrightarrow 2 NH _{3( g )}$
if the rate of disappearance of $N _{2( g )}$ is $2.6 \times 10^{-4} M / s$, the rate of disappearance of $H _{2( g )}$ in $M / s$ is $........$
$N _{2( g )}+3 H _{2( g )} \longrightarrow 2 NH _{3( g )}$
if the rate of disappearance of $N _{2( g )}$ is $2.6 \times 10^{-4} M / s$, the rate of disappearance of $H _{2( g )}$ in $M / s$ is $........$
- A$2.6 \times 10^{−4} M/s$
- ✓$7.8 \times 10^{−4} M/s$
- C$5.2 \times 10^{−4} M/s$
- D$8.6 \times 10^{−4} M/s$
Answer
View full question & answer→Correct option: B.
$7.8 \times 10^{−4} M/s$
$7.8 \times 10^{−4} M/s$
MCQ 1241 Mark
The time of completion of 90% of a first order reaction is approximately ____________.
- A1.1 times that of half life
- B2.2 times that of half life
- C4.4 times that of half life
- ✓3.3 times that of half life
Answer
View full question & answer→Correct option: D.
3.3 times that of half life
D
MCQ 1251 Mark
The rate determining step of a reaction is the step ____________.
- Awhich is the fastest
- Bwhich involves the minimum number of molecules
- ✓which is the slowest
- Dwhich involves the maximum number of molecules
Answer
View full question & answer→Correct option: C.
which is the slowest
C
MCQ 1261 Mark
Which element among the following is used as reducing agent for reduction of remaining three elements from their oxides?
- AAl
- ✓Mg
- CZn
- DHg
Answer
View full question & answer→Correct option: B.
Mg
B
MCQ 1271 Mark
For the following cell, standard potential of copper electrode is $0.337 V$ and standard cell potential is $0.463 V$.
$
Cu \mid Cu ^{2+}(1 M ) \| Ag ^{+}(1 M ) Ag
$
What is the standard potential of silver electrode?
$
Cu \mid Cu ^{2+}(1 M ) \| Ag ^{+}(1 M ) Ag
$
What is the standard potential of silver electrode?
- A−0.126 V
- B−0.463 V
- C0.126 V
- ✓0.800 V
Answer
View full question & answer→Correct option: D.
0.800 V
D
MCQ 1281 Mark
When electrolysis of molten $\text{NaCl}$ and aqueous $\text{NaCl}$ are carried out separately, the product formed at cathode are $.........$ and $.........$ respectively.
- Ametallic sodium, $O_2$ gas
- Bmetallic sodium, $Cl_2$ gas
- C$Cl_2$ gas, $H_2$ gas
- ✓metallic sodium, $H_2$ gas
Answer
View full question & answer→Correct option: D.
metallic sodium, $H_2$ gas
metallic sodium, $H_2$ gas
MCQ 1291 Mark
Calculate the amount of heat liberated during formation of $2. 7 \ kg$ of water if heat of formation of water is $- 284.5 \ kJ \ mol^{-1}.$
- A$2.896 \times 10^3 kJ$
- B$1.896 \times 10^4 kJ$
- C$4.267 \times 10^3 kJ$
- ✓$4.267 \times 10^4 kJ$
Answer
View full question & answer→Correct option: D.
$4.267 \times 10^4 kJ$
$4.267 \times 10^4 kJ$
MCQ 1301 Mark
In which of the following reactions does the heat change represent the heat of formation of water?
- ✓$\ce{H_{2( g )} + \frac{1}{2}O_{2( g )} \longrightarrow H_2O_{( l )} ; \Delta H =-58\ kcal}$
- B$\ce{H_{(aq.) }^{+} + OH_{(aq.) }^{-} \longrightarrow H_2O_{(l)};\Delta H =-13.7\ kcal}$
- C$\ce{2H _{2( g )}+ O_{2( g )} \longrightarrow 2 H_2O_{( l )}; \Delta H =-116\ kcal}$
- D$\ce{C_2H_{2( g )} + \frac{5}{2} O_{2( g )} \longrightarrow 2CO_{2( g )} + H_2O_{( l )};$
$\Delta H =-310\ kcal}$
Answer
View full question & answer→Correct option: A.
$\ce{H_{2( g )} + \frac{1}{2}O_{2( g )} \longrightarrow H_2O_{( l )} ; \Delta H =-58\ kcal}$
MCQ 1311 Mark
In an isothermal and reversible process, $1.6 \times 10-2 \ kg O_2 $ expands from $10 dm^3$ to $100 dm^3$ at $300 K,$ work done in the process is $....... (R = 8.314 JK^{-1} mol^{-1}).$
- A$- 5744 J$
- B$- 1436 J$
- C$- 4308 J$
- ✓$- 2872 J$
Answer
View full question & answer→Correct option: D.
$- 2872 J$
$- 2872 J$
MCQ 1321 Mark
Find the $\text{CORRECT}$ match.$<$
- A$CuCl_2:$ Salt of weak acid and strong base
- ✓$NaNO_3:$ Salt of strong acid and strong base
- C$NH_4CN:$ Salt of strong acid and weak base
- D$\text{KCN:}$ Salt of weak acid and weak base
Answer
View full question & answer→Correct option: B.
$NaNO_3:$ Salt of strong acid and strong base
$NaNO_3:$ Salt of strong acid and strong base
MCQ 1331 Mark
What is the pH of 0.01 M solution of ammonium hydroxide which is 10% dissociated?
- A3.00
- ✓11.00
- C8.00
- D10.00
Answer
View full question & answer→Correct option: B.
11.00
B
MCQ 1341 Mark
The $\text{CORRECT}$ match between transition metal ion and its colour in aqueous solution.
- A$Sc^{3+}:$ Yellow
- B$Fe^{2+}:$ Colourless
- C$Cu^+:$ Blue
- ✓$Ti^{3+}:$ Purple
Answer
View full question & answer→Correct option: D.
$Ti^{3+}:$ Purple
$Ti^{3+}:$ Purple
MCQ 1351 Mark
The boiling point of a solution of $0.11 g$ of a substance in $15 g$ of ether was found to be $0.1^\circ C$ higher than that of the pure ether. The molecular weight of the substance will be $.........(K_b = 2.16 K \ kg mol^{−1})$
- ✓$158 g \ mol^{−1}$
- B$168 g \ mol^{−1}$
- C$148 g \ mol^{−1}$
- D$178 g \ mol^{−1}$
Answer
View full question & answer→Correct option: A.
$158 g \ mol^{−1}$
$158 g \ mol^{−1}$
MCQ 1361 Mark
The vapour pressure of pure solvent and solution are 120 mm Hg and 108 mm Hg respectively. The mole fraction of the solvent in the solution is ____________.
- A1.2
- B0.1
- C1.08
- ✓0.9
Answer
View full question & answer→Correct option: D.
0.9
D
MCQ 1371 Mark
Which of the following influence(s) the solubility of a solid in a liquid solvent?
- ✓All of these
- BNature of solvent
- CTemperature
- DNature of solute
Answer
View full question & answer→Correct option: A.
All of these
A
MCQ 1381 Mark
Which of the following pair of ionic crystals show Schottky defect?
- A$CaF_2$ and $\text{AgBr}$
- B$\text{ZnS}$ and $\text{AgBr}$
- ✓$\text{NaCl}$ and $\text{KCI}$
- D$\text{ZnS}$ and $\text{NaCl}$
Answer
View full question & answer→Correct option: C.
$\text{NaCl}$ and $\text{KCI}$
$\text{NaCl}$ and $\text{KCI}$
MCQ 1391 Mark
Which of the following contains the highest number of atoms?
- A$4.25 g$ of ammonia
- B$7 g$ of $N_2$
- C$23 g$ of sodium
- ✓$2 g$ of $H_2$
Answer
View full question & answer→Correct option: D.
$2 g$ of $H_2$
$2 g$ of $H_2$
MCQ 1401 Mark
If the edge of a body-centred unit cell is 360 pm, what will be the approximate radius of the atom present in it? (in pm)
- A311.4
- ✓155.7
- C180.0
- D173.0
Answer
View full question & answer→Correct option: B.
155.7
B
MCQ 1411 Mark
Phenol on distillation with zinc dust gives $........$
- A$C_6H_5OC_6H_5$
- B$C_6H_{12}$
- C$C _6 H _5- C _6 H _5$
- ✓$C_6H_6$
Answer
View full question & answer→Correct option: D.
$C_6H_6$
$C_6H_6$
MCQ 1421 Mark
Which of the following is CORRECT about alkynes?
- AAlkynes undergo substitution reaction.
- ✓Alkynes are less dense than water.
- CAlkynes are soluble in water.
- DThe alkynes are aliphatic saturated hydrocarbons.
Answer
View full question & answer→Correct option: B.
Alkynes are less dense than water.
B
MCQ 1431 Mark
The overlap of σ-p orbitals is called ____________.
- ✓hyperconjugation
- Bresonance
- Celectronic effect
- Dinductive effect
Answer
View full question & answer→Correct option: A.
hyperconjugation
A
MCQ 1441 Mark
Froth is a colloidal solution of ____________.
- Aliquid in gas
- ✓gas in liquid
- Cliquid in solid
- Dsolid in liquid
Answer
View full question & answer→Correct option: B.
gas in liquid
B
MCQ 1451 Mark
If 2 moles of an ideal gas at 546 K has volume of 44.8 L, then what will be it's pressure? (R = 0.082)
- A1.098 atm
- B2.408 atm
- ✓1.998 atm
- D3.129 atm
Answer
View full question & answer→Correct option: C.
1.998 atm
C
MCQ 1461 Mark
Which among the following chlorides of alkali metal is deliquescent?
- ACsCl
- ✓LiCl
- CKCl
- DNaCl
Answer
View full question & answer→Correct option: B.
LiCl
B
MCQ 1471 Mark
- Azero
- ✓- 2
- C+ 2
- D- 1
Answer
View full question & answer→Correct option: B.
- 2
B
MCQ 1481 Mark
In haloalkanes and haloarenes, halogen atom is bonded to $...........$ hybridized carbon atom of an alkyl and aryl groups, respectively.
- A$sp, sp^3$
- B$sp^3d, sp^2$
- C$sp^2, sp^3$
- ✓$sp^3, sp^2$
Answer
View full question & answer→Correct option: D.
$sp^3, sp^2$
$sp^3, sp^2$
MCQ 1491 Mark
Which one of the following is $\text{NOT}$ possible?
- A$n = 3, l = 2, m_l = 0$
- B$n = 4, I = 0, m_l = 0$
- ✓$n = 3, I = 0, m_l = −1$
- D$n = 2, l = 1, m_l = −1$
Answer
View full question & answer→Correct option: C.
$n = 3, I = 0, m_l = −1$
$n = 3, I = 0, m_l = −1$
MCQ 1501 Mark
One amu is equal to $.....$
- A$8.302 \times 10^{-23} g$
- B$4.661 \times 10^{-25} g$
- C$6.022 \times 10^{-23} g$
- ✓$1.6605 \times 10^{-24} g$
Answer
View full question & answer→Correct option: D.
$1.6605 \times 10^{-24} g$
$1.6605 \times 10^{-24} g$