MCQ 11 Mark
In common emitter amplifier, a change of 0.2 mA in the base current causes a change of 5 mA in the collector current. If input resistance is 2K `Omega` and voltage gain is 75, the load resistance used in the circuit is ______.
MCQ 21 Mark
$V_e, V_b$, and $V_e$ are emitter, base, and collector voltage respectively for npn transistor in CE mode. Amplifier works for the combination of biasing voltage equal to ______.
- A
$V _{ e }=-5 V, V _{ b }=+2 V, V _{ c }=-5 V$
- B
$V _{ e }=+5 V, V _{ b }=+2 V, V _{ c }=-5 V$
- C
$V _{ e }=+5 V, V _{ b }=+2 V, V _{ c }=+5 V$
- ✓
$V _{ e }=-5 V, V _{ b }=+2 V, V _{ c }=+5 V$
AnswerCorrect option: D. $V _{ e }=-5 V, V _{ b }=+2 V, V _{ c }=+5 V$
View full question & answer→MCQ 31 Mark
In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance 'r' from the nucleus is ______.
MCQ 41 Mark
The minimum energy required to excite a hydrogen atom from its ground state is ____________.
MCQ 51 Mark
According to de-Broglie hypothesis, the ratio of wavelength of an electron and that of photon having same energy 'E' is (m = mass of electron, c = velocity of light) ____________.
- ✓
`"c" xx sqrt((2"m")/"E")`
- B
`1/"c" xx sqrt((2"m")/"E")`
- C
`1/"c" xx sqrt("E"/(2"m"))`
- D
`"c" xx sqrt(("E")/(2"m"))`
AnswerCorrect option: A. `"c" xx sqrt((2"m")/"E")`
View full question & answer→MCQ 61 Mark
When a metal with work function 0.6 eV is illuminated with light of energy 2 eV, the stopping potential will be ____________.
MCQ 71 Mark
Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of `("L"/"R")` are ____________.
MCQ 81 Mark
What is the r.m.s. value of an alternating current which when passed through a resistor produces heat which is four times of that produced by a direct current of 3 ampere in the same resistor?
MCQ 91 Mark
The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV, Current in the primary is reduced from 6 A to 3 A. The time required for the change of current is ____________.
- A
$5 \times 10^{-3} s$
- B
$4 \times 10^{-3} s$
- ✓
$3 \times 10^{-3} s$
- D
$6 \times 10^{-3} s$
AnswerCorrect option: C. $3 \times 10^{-3} s$
View full question & answer→MCQ 101 Mark
Magnetic flux passing through a coil is initially $6 \times 10^{-4} Wb$. It reduces to $10 \%$ of its original value in 't' second. If the e.m.f. induced is 0.54 mV then ' $t$ ' in second is...........
View full question & answer→MCQ 111 Mark
If $M_Z$ = magnetization of a paramagnetic sample, B external magnetic field, T = absolute temperature, C = curie constant then according to Curie's law in magnetism, the correct relation is ______.
AnswerCorrect option: A. $`"M"_"z" = "CB"/"T"`$
View full question & answer→MCQ 121 Mark
An electron revolving in a circular orbit of radius 'r' with velocity 'V' and frequency 'v' has orbital magnetic moment 'M'. If the frequency of revolution is doubled then the new magnetic moment will be ____________.
MCQ 131 Mark
A wire of length L carrying a current I is bent into a circle. The magnitude of the magnetic field at the centre of the circle is ____________.
MCQ 141 Mark
A loop of flexible conducting wire lies in a magnetic field of 4.0 T with its plane perpendicular to the field. The length of the wire is 1 m. When a current of 2.2 A is passed through the loop, it opens into a circle, then the tension developed in the wire is ____________.
MCQ 151 Mark
When two cells of e.m.f 1.5 V and 1.1 V connected in series are balanced on a potentiometer, the balancing length is 260 cm. The balancing length, when they are connected in opposition is (in cm) ____________.
MCQ 161 Mark
The resistances in left and right gap of a meter-bridge are 3 `Omega` and 5 `Omega` respectively. When the resistance in the left gap is increased by 10%, the balance point shifts nearly by ______.
MCQ 171 Mark
A dielectric is inserted between the plates of a charged and isolated parallel-plate air capacitor. Then, the charge on the plates and the potential difference, respectively, ______.
- ✓
remains the same, decreases
- B
increases, remains the same.
- C
remains the same, increases.
- D
decreases, remains the same.
AnswerCorrect option: A. remains the same, decreases
View full question & answer→MCQ 181 Mark
Three condensers of· capacities $C_1: C_2: C_3$ are connected in series with a source of e.m.f. V. The potentials across the three condensers are in the ratio of ______
AnswerCorrect option: D. $`1/C_1 : 1/C_2 : 1/C_3`$
View full question & answer→MCQ 191 Mark
A sphere of radius 1 cm has a potential of 10000 V . The energy per unit volume near-surface of a sphere of radius 0.02 m and maintained at a potential of $10^3 V$ is ______
- A
$1.1 \times 10^{-5} J / m ^3$
- B
$1.1 \times 10^5 J / m ^3$
- ✓
$1.1 \times 10^{-2} J / m ^3$
- D
$1.1 \times 10^2 J / m ^3$
AnswerCorrect option: C. $1.1 \times 10^{-2} J / m ^3$
View full question & answer→MCQ 201 Mark
In Fresnel's biprism experiment, when the distance between the slit aperture and eye is increased, then distance between the fringes ____________.
- A
increases in the beginning but decreases when it reaches maximum
- B
- C
- ✓
View full question & answer→MCQ 211 Mark
In the biprism experiment, the fringe width is 0.4 mm . What is the distance between the $4^{\text {th }}$ dark band and the $6^{\text {th }}$ bright band on the same side?
View full question & answer→MCQ 221 Mark
The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio `("I"_"max" - "I"_"min")/("I"_"max" + "I"_"min")` will be ______
MCQ 231 Mark
In Melde's experiment, when the wire is stretched by an empty pan, four loops are obtained and when a six-gram weight is added to the pan, the number of loops becomes one. The mass of pan is ______
MCQ 241 Mark
A transverse wave is travelling with velocity 'V' through a metal wire of length 'L' and density 'ρ'. The tensile stress on the wire is ______
AnswerCorrect option: C. $V^2 \rho$
View full question & answer→MCQ 251 Mark
Two waves are represented by $y _1= a \sin { }^{\prime}\left( omega { }^{ t t}+ pi / 6\right)^{\prime}$ and $y _2= a \cos$ `omega"t". What will be their resultant amplitude?
View full question & answer→MCQ 261 Mark
A horizontal spring executes S.H.M. with amplitude ' $A_1$ ', when mass ' $m_1$ ' is attached to it, When it passes through mean position another mass ' $m_2$ ' is placed on it. Both masses move together with amplitude ' $A_2$ '. Therefore $A_2$ : $A_1$ is______
- A
$`[(m_1 + m_2)/m_1]^{1/2}`$
- B
$`[m_2/(m_1 + m_2)]^{1/2}`$
- ✓
$`[m_1/(m_1 + m_2)]^{1/2}`$
- D
$`[(m_1 + m_2)/m_2]^{1/2}`$
AnswerCorrect option: C. $`[m_1/(m_1 + m_2)]^{1/2}`$
View full question & answer→MCQ 271 Mark
The maximum speed of a particle in S.H.M. is 'V'. The average speed is ______
- A
- B
$`(2V)/pi^2`$
- C
$2 V / \pi$
- ✓
$2 V / \pi$
AnswerCorrect option: D. $2 V / \pi$
View full question & answer→MCQ 281 Mark
The displacement of a particle from its mean position (in metre) is given by, y = 0.2 sin(10 πt + 1.5π) cos(10 πt + 1.5π).
The motion of particle is ____________.
- A
simple harmonic motion with period 0.2 s
- ✓
simple harmonic motion with period 0.1 s
- C
- D
AnswerCorrect option: B. simple harmonic motion with period 0.1 s
View full question & answer→MCQ 291 Mark
For a heat engine operating between temperatures $t _1{ }^{\circ} C$ and $t _2{ }^{\circ} C$, its efficiency will be______.
AnswerCorrect option: B. $`("t"_1 - "t"_2)/("t"_1 + 273)`$
View full question & answer→MCQ 301 Mark
An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?
MCQ 311 Mark
Two moles of an ideal monoatomic gas are taken around a cycle ABCA as shown in the figure. The work done during the cycle is ______.
MCQ 321 Mark
A black rectangular surface of area 'A' emits energy 'E' per second at 27 °C. If length and breadth are reduced to `1/2` of initial value and 2 temperature is raised to 327 °C then energy emitted per second becomes ______.
MCQ 331 Mark
The ratio of the specific heats `c_"p"/c_"v"=gamma` in terms of degrees of freedom 'n' is given by ______.
MCQ 341 Mark
50 g of copper is heated to increase its temperature by $10^{\circ} C$. If the same quantity of heat is given to 5 g water, the rise in its temperature is [Specific heat of copper $=420$ joule $- kg ^{-1}{ }^{\circ} C ^{-1}$, specific heat of water $=4200$ joule- $kg ^{-1}{ }^{\circ} C ^{-1}$ ]
- ✓
$10^{\circ} C$
- B
$5^{\circ} C$
- C
$40^{\circ} C$
- D
$20^{\circ} C$
AnswerCorrect option: A. $10^{\circ} C$
View full question & answer→MCQ 351 Mark
An incompressible liquid flows through a unifonn cross sectional tube with velocity 20 cm/s. If the thickness of liquid layer is 0.8 cm then velocity of gradient of flow is ____________.
- A
$12 s^{-1}$
- B
$15 s^{-1}$
- C
$18 s^{-1}$
- ✓
$25 s^{-1}$
AnswerCorrect option: D. $25 s^{-1}$
View full question & answer→MCQ 361 Mark
On mixing highly soluble impurity in water, the surface tension 'T' and angle of contact 'θ', ______.
- A
decreases and increases respectively
- ✓
- C
- D
increases and decreases respectively
View full question & answer→MCQ 371 Mark
A metal wire of density 'p' floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to ______.
(T = surface tension of water, g = gravitational acceleration)
MCQ 381 Mark
A disc of mass 100 kg and radius 1 m is rotating at 300 rpm. The torque required to rotate the disc in opposite direction with same speed in time 50 second is ______.
MCQ 391 Mark
A particle of mass 'm' is rotating in a horizontal circle of radius 'r' with unifom1 velocity `vec"V"`. The change in its momentum at two diametrically opposite points will be ______.
MCQ 401 Mark
In the case of conical pendulum, if T is the tension in the string and θ is the semivertical angle of cone, then the component of tension which balances the centrifugal force in equilibrium position is ______.
MCQ 411 Mark
When p-n junction diode is reverse biased, then the width of the barrier potential will ______.
- A
decrease and it will offer zero resistance
- B
remain constant and it will not offer resistance
- ✓
increase and it will offer more resistance
- D
decrease and it will offer more resistance
AnswerCorrect option: C. increase and it will offer more resistance
View full question & answer→MCQ 421 Mark
An electric dipole consists of two opposite charges each $0.05 \mu C$ separated by 30 mm . The dipole is placed in an unifom 1 external electric field of $10^6 NC ^{-1}$. The maximum torque exerted by the field on the dipole is.................
- ✓
$1.5 \times 10^{-3} Nm$
- B
$6 \times 10^{-3} Nm$
- C
$3 \times 10^{-3} Nm$
- D
$15 \times 10^{-3} Nm$
AnswerCorrect option: A. $1.5 \times 10^{-3} Nm$
View full question & answer→MCQ 431 Mark
The critical angle is maximum when light travels from ______.
`(a^mu"w"=4/3,a^mug=3/2)`
MCQ 441 Mark
Two sinusoidal plane waves of the same frequency having intensities $I_0$ and $4 I_0$ are travelling in the same direction. The resultant intensity at a point at which waves meet with a phase difference of zero radians is...........
- ✓
$9I_0$
- B
$I_0$
- C
$5I_0$
- D
$3I_0$
AnswerCorrect option: A. $9I_0$
View full question & answer→MCQ 451 Mark
The ratio of the specific heats `c_"p"/c_"v"=gamma` in terms of degrees of freedom 'n' is given by ______.
MCQ 461 Mark
The acceleration due to gravity on moon is ${ }^{\prime}(1 / 6)^{\wedge}$ "th"" times the acceleration due to gravity on earth. If the ratio of the density of earth ' $\rho_e$ ' to the density of moon ' $\rho_m$ ' is ' $5 / 3$ ', then the radius of moon ' $R_m$ ' in terms of the radius of earth ' $R_e$ ' is...............
- A
$`(3/18)R_e`$
- B
$`(1/(2sqrt3))R_e`$
- ✓
$`(5/18)R_e`$
- D
$`(7/6)R_e`$
AnswerCorrect option: C. $`(5/18)R_e`$
View full question & answer→MCQ 471 Mark
A metal sphere is hanging from the ceiling of a vehicle. If the vehicle is moving along the horizontal road with uniform acceleration 'a' then the suspended thread of the sphere gets inclined to the vertical at an angle 'θ'. The value of acceleration 'a' is (g = acceleration due to gravity) ______.
MCQ 481 Mark
Work done in sliding a 1 kg block up a rough inclined plane of height 5 m is 100 J. Work done against the friction is ______.$\left( g =10 m / s ^2\right)$
View full question & answer→MCQ 491 Mark
At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______.
MCQ 501 Mark
If a particle moves with uniform speed then its tangential acceleration will be ______.
MCQ 511 Mark
A random variable X has the following has the following:
| X = x | –2 | –1 | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 6k | 8k | 5k | 4k | 6k | 11k | 7k |
Then, the value of P(–1 < X < 3) is ______.
MCQ 521 Mark
A boy tosses a fair coin 3 times. If he gets ₹ 2x for x heads then his expected gain equals ₹ ______
MCQ 531 Mark
In a box containing 100 eggs, 10 eggs are rotten. The probability that out of a sample of 5 eggs none are rotten, if the sampling is with replacement, is ______.
MCQ 541 Mark
The differential equation having $y=\left(\cos ^{-1} x\right)^2+P\left(\sin ^{-1} x\right)+Q$ as its general solution, where P and Q are arbitrary constants, is
- A
`(1 - x^2) ("d"^2y)/("d"x^2) + x ("d"y)/("d"x)` = 2
- B
- ✓
`(1 - x^2) ("d"^2y)/("d"x^2) - x ("d"y)/("d"x)` = 2
- D
`(1 - x^2) ("d"^2y)/("d"x^2) + x ("d"y)/("d"x)` = 2y
AnswerCorrect option: C. `(1 - x^2) ("d"^2y)/("d"x^2) - x ("d"y)/("d"x)` = 2
View full question & answer→MCQ 551 Mark
The solution of the differential equation `dy/dx + y/x = 1 - x^3 + 4x` is ______
- A
`xy = x^3/3 + x^2 + x + c`
- ✓
`xy = x^2/2 - x^5/5 + 4 x^3/3 + c`
- C
`xy = x^3/3 + 3/2 x^2 + 2x + c`
- D
`xy = x^2/2 + x^5/5 + 4 x^3/3 + c`
AnswerCorrect option: B. `xy = x^2/2 - x^5/5 + 4 x^3/3 + c`
View full question & answer→MCQ 561 Mark
The degree of the differential equation `1/2 ("d"^3"y")/"dx"^3 = {1 + (("d"^2"y")/"dx"^2)}^(5/3)` is ______.
MCQ 571 Mark
The area of the region is bounded by the curve y = sinx, X-axis and the lines x = 0, x = `(2pi)/3` is ______
MCQ 581 Mark
If A is the area of the region bounded by the curve y = `sqrt(3x + 4)`, X-axis and the lines x = -1 and x = 4 and B is that area bounded by curve $y^2=3 x+4$, X-axis and the lines x = -1 and x = 4, then A : B is equal to ______
View full question & answer→MCQ 591 Mark
`int_0^(pi/2) 1/(1 + cosx) "d"x` = ______.
MCQ 601 Mark
The value of `int_1^3 dx/(x(1 + x^2))` is ______
MCQ 611 Mark
`int_0^(pi/4) (sec^2 x)/((1 + tan x)(2 + tan x))`dx = ?
MCQ 621 Mark
`int tan(sin^-1x)dx` = ______
- A
`tan^mx/sqrt(1 - x^2) + c`
- B
- ✓
- D
View full question & answer→MCQ 631 Mark
`int cosx/sqrt(1 + sinx) "d"x` = ______.
- A
`sin (x / 2) + cos (x/2) + "c"`
- B
`2[sin(x/2) - cos(x/2)] + "c"`
- ✓
`2[sin(x/2) + cos(x/2)] + "c"`
- D
`sin (x/2) - cos (x/2) + "c"`
AnswerCorrect option: C. `2[sin(x/2) + cos(x/2)] + "c"`
View full question & answer→MCQ 641 Mark
`int[ tan (log x) + sec^2 (log x)] dx= ` ______
MCQ 651 Mark
The acceleration of a moving particle whose space-time equation is given by $s=7 t^2-3 t+8$, is ______
View full question & answer→MCQ 661 Mark
The angle of intersection of curves $x=y^2, 3 y=5-2 x^3$ at $(1,1)$ is ______.
View full question & answer→MCQ 671 Mark
If `y = sin^-1(1/x^3)`, then `dy/dx` = ______
- A
`-3/(x^4 sin[cos^-1(1/x^3)])`
- ✓
- C
`3/(x^4 sin[cos^-1(1/x^3)])`
- D
View full question & answer→MCQ 681 Mark
If $y=\left(\sin x^2\right)^2$, then '("d" $\left.y\right) /\left({ }^{\prime} d^{\prime \prime} x\right)^{\prime}$ is equal to ______.
- A
$4 x \sin 2 x^2$
- B
$-x \cos x^2$
- ✓
$2 x \sin 2 x^2$
- D
$-x \sin 2 x^2$
AnswerCorrect option: C. $2 x \sin 2 x^2$
View full question & answer→MCQ 691 Mark
If $x^2+y^2-2 a x y=0$, then ${ }^{\prime} d y / d x^{\prime}$ equals ______
View full question & answer→MCQ 701 Mark
Solution set of the inequality y ≥ 0 is ______.
- A
half plane on the right of Y-axis excluding the points on Y-axis.
- B
half plane on the right of Y-axis including the points on Y-axis.
- C
half plane above the X-axis excluding the points on X-axis.
- ✓
half plane above the X-axis including the points on X-axis.
AnswerCorrect option: D. half plane above the X-axis including the points on X-axis.
View full question & answer→MCQ 711 Mark
For the constraint of a linear optimizing function $z =3 x _1+11 x _2$, given by $2 x _1+ x _2 \leq 2,4 x _1+ x _2 \geq 4$ and $x _1, x _2 \geq 0$
- A
- B
There are infinite feasible regions
- C
There are two feasible regions
- ✓
There is no feasible region
AnswerCorrect option: D. There is no feasible region
View full question & answer→MCQ 721 Mark
Let the line `(x - 2)/3 = (y - 1)/(-5) = (z + 2)/2` lie in the plane x + 3y - αz + β = 0. Then, (α, β) equals ______
MCQ 731 Mark
If the line ${ }^`(x-3) / 2=(y+2) /-1=(z+4) / 3^`$ lies in the plane $\mid x+m y-z=9$, then $I^2+m^2$ is equal to.........
View full question & answer→MCQ 741 Mark
A line passes through the point of intersection of the lines 3x + y + 1 = 0 and 2x – y + 3 = 0 and makes equal intercepts with axes. The equation of the line is ______.
MCQ 751 Mark
`[(bar"a", bar"b" + bar"c", bar"a" + bar"b" + bar"c")]` = ______.
- A
`3[(bar"a", bar"b", bar"c")]`
- B
`2[(bar"a", bar"b", bar"c")]`
- C
`[(bar"a", bar"b", bar"c")]`
- ✓
View full question & answer→MCQ 761 Mark
The direction ratios of a line perpendicular to the lines with direction ratios 1, 3, 2, and -1, 1, 2 are ______
MCQ 771 Mark
If `bar"a"` makes an acute angle with `bar"b", bar"r"*bar"a"` = 0 and `bar"r"xx bar"b" = bar"c" xx bar"b"`, then `bar"r"` = ______.
- A
`bar"c" + ((bar"c" * bar"a")/(bar"b" * bar"a"))bar"b"`
- ✓
`bar"c" - ((bar"c" * bar"a")/(bar"b" * bar"a"))bar"b"`
- C
`bar"a"xx bar"c" - bar"b"`
- D
AnswerCorrect option: B. `bar"c" - ((bar"c" * bar"a")/(bar"b" * bar"a"))bar"b"`
View full question & answer→MCQ 781 Mark
If `bar"a" = 1/sqrt(10) (3hat"i" + hat"k"), bar"b" = 1/7(2hat"i" + 3hat"j" - 6hat"k")`, then the value of `(2bar"a" - bar"b")*{(bar"a" xx bar"b") xx (bar"a" + 2bar"b")}` is ______.
MCQ 791 Mark
Let L be the line joining the origin to the point of intersection of the lines represented by $2 x^2-3 x y-2 y^2+10 x+5 y=0$. lf L is perpendicular to the line kx + y + 3 = 0, then k = ______.
View full question & answer→MCQ 801 Mark
Which of the following pair of straight lines intersect at right angles?
- ✓
$2 x^2=y(x+2 y)$
- B
$2 y(x+y)=x y$
- C
$(x+y)^2=x(y+3 x)$
- D
$y= \pm 2 x$
AnswerCorrect option: A. $2 x^2=y(x+2 y)$
View full question & answer→MCQ 811 Mark
The joint equation of pair of lines having slopes `1+sqrt2` and `1-sqrt2` and passing through the origin is ______.
- A
$x^2-5 x y+y^2=0$
- B
$x^2+2 x y+y^2=0$
- C
$x^2+5 x y+y^2=0$
- ✓
$x^2+2 x y-y^2=0$
AnswerCorrect option: D. $x^2+2 x y-y^2=0$
View full question & answer→MCQ 821 Mark
`cos(2sin^-1 3/4+cos^-1 3/4)=` ______.
MCQ 831 Mark
If sin `(sin^-1 1/3 + cos^-1 x) = 1`, then the value of x is ______.
MCQ 841 Mark
In any triangle ABC, the simplified form of `$(cos2A)/a^2 - (cos2B)/b^2$` is ______
AnswerCorrect option: D. $1 / a^{\wedge} 2-1 / b^{\wedge} 2^{\prime}$
View full question & answer→MCQ 851 Mark
The general solution of cot θ + tan θ = 2 is ______.
- A
θ = `("n"pi)/2 + (-1)^"n" pi/6`
- ✓
θ = `("n"pi)/2 + (-1)^"n" pi/4`
- C
θ = `("n"pi)/2 + (-1)^"n" pi/8`
- D
θ = `"n"pi + (-1)^"n" pi/8`
AnswerCorrect option: B. θ = `("n"pi)/2 + (-1)^"n" pi/4`
View full question & answer→MCQ 861 Mark
If $A=[(5,-4),(7,-5)]$, then $3 A^{-1}=$______
View full question & answer→MCQ 871 Mark
The inverse of a symmetric matrix is ______.
MCQ 881 Mark
The proposition ∼(p ∧ ∼q) → p is a ______
MCQ 891 Mark
If truth values of p ↔ r, r, p ↔ q are F, T, F respectively, then respective truth values of p and q are ______.
MCQ 901 Mark
The symbolic form of the statement 'lt is not true that Mathematics is not difficult and interesting' is _______.
MCQ 911 Mark
If f(x) = `{{:(4x - 2",", 0 ≤ x ≤ 2),(3x + "k"",", 2 < x ≤ 3):}` is continuous in [0, 3], then the value of k is ______.
MCQ 921 Mark
`lim_{x→-5} (sin^-1(x + 5))/(x^2 + 5x)` is equal to ______
MCQ 931 Mark
$f(x)=x^4, g(x)=6 x-2 \text {, then } g[f(x)]=$ ______.
- A
$36 x^4+60 x-36$
- B
$6 x^4+12$
- C
$36 x^4-60 x+36$
- ✓
$6 x^4-2$
AnswerCorrect option: D. $6 x^4-2$
View full question & answer→MCQ 941 Mark
The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.
MCQ 951 Mark
The modulus and amplitude of 4 + 3i are ______
MCQ 961 Mark
If two letters of the word MOTHER are selected at random. Probability that both are consonants is ______.
MCQ 971 Mark
Coefficients of variation of two distributions are 30 and 40 and their arithmetic means are 10 and 25 respectively. The difference of their standard deviations is ______
MCQ 981 Mark
The equation of the tangent to the curve y = `2x + 1/x^2`, that is parallel to the X-axis, is ______.
MCQ 991 Mark
The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be ______
MCQ 1001 Mark
If equation tan θ + tan 2θ + tan θ tan 2θ = 1, θ = ______.
MCQ 1011 Mark
Which of the following polymers is a heteropolymer?
MCQ 1021 Mark
Which of the following properties is of thermoplastic polymer?
- A
These can't be remoulded.
- B
- ✓
These are either linear or branched chain polymers.
- D
These do not become soft on heating.
AnswerCorrect option: C. These are either linear or branched chain polymers.
View full question & answer→MCQ 1031 Mark
Which among the following is basic amino acid?
MCQ 1041 Mark
Identify the number of oxygen atoms present in saccharic acid?
MCQ 1051 Mark
Which of the following is a simple, aliphatic $3^{\circ}$ amine?
- A
$\begin{array}{cc}
\phantom{.}\ce{CH3}\\
|\phantom{..}\\
\ce{CH3-CH-NH2}
\end{array}$
- ✓
$\left( CH _3\right)_3 N$
- C
$\left( C _6 H _5\right)_3 N$
- D
$\begin{array}{cc}
\phantom{...}\ce{CH3}\\
|\\
\ce{CH3-C-NH2}\\
|\\
\phantom{...}\ce{CH3}
\end{array}$
AnswerCorrect option: B. $\left( CH _3\right)_3 N$
View full question & answer→MCQ 1061 Mark
Which of the following reactions is appropriate for converting benzamide to aniline?
- A
- ✓
Hofmann bromamide degradation
- C
- D
Gabriel phthalimide synthesis
AnswerCorrect option: B. Hofmann bromamide degradation
View full question & answer→MCQ 1071 Mark
Benzaldehyde gives all tests positive EXCEPT ____________.
- ✓
- B
- C
- D
Sodium bisulphite solution
View full question & answer→MCQ 1081 Mark
Identify 'A' in the following reaction. $\ce{A ->[H2][Pd-BaSO4] C6H5CHO + HCl}$
View full question & answer→MCQ 1091 Mark
A reaction of phenol with chloroform in presence of sodium hydroxide to form salicylaldehyde is known as ____________.
MCQ 1101 Mark
Which of the following alcohols is least soluble in water?
MCQ 1111 Mark
When $C _2 H _5 Br$ is treated with excess of alc. $NH _3$, the major product obtained is ____________.
- A
tetraethyl ammonium bromide
- B
- ✓
- D
View full question & answer→MCQ 1121 Mark
Amongst the following, HBr reacts fastest with
MCQ 1131 Mark
Conversion of an alcohol into alkyl chloride by reacting with thionyl chloride is done in a medium of ____________.
MCQ 1141 Mark
What is the number of moles of silver chloride precipitated when excess of aqueous silver nitrate is treated with $\left[ Co \left( NH _3\right)_4 Cl _2\right] Cl ?$
View full question & answer→MCQ 1151 Mark
The IUPAC name of the following compound. $\begin{array}{cc}
\phantom{.}\ce{CH(CH3)2}\\
|\phantom{........}\\
\ce{CH3 - CH2 - CH2 - CH - CH - CH2 - CH - CH2}\\
\phantom{............................}|\phantom{...................}|\phantom{...}\\
\phantom{...........................}\ce{CH2CH3}\phantom{...........}\ce{CH3}\phantom{}
\end{array}$
- A
- ✓
5-Ethyl-4-(1-methylethyl)decane
- C
6-(1-Methylethyl)-5-ethyldecane
- D
4, 5-di(1-Methylethyl)decane
AnswerCorrect option: B. 5-Ethyl-4-(1-methylethyl)decane
View full question & answer→MCQ 1161 Mark
Which of the following is a property of coordination compound and not of double salt?
- ✓
These show entirely different properties from their constituent ions.
- B
These dissociate into their constituent ions when dissolved in water.
- C
These lose their identity in aqueous solution.
- D
Aqueous solution of these gives the tests of all constituent ions.
AnswerCorrect option: A. These show entirely different properties from their constituent ions.
View full question & answer→MCQ 1171 Mark
The number of unpaired f-electrons in ytterbium (Z = 70) is ____________.
MCQ 1181 Mark
Which of the following statements are FALSE about lanthanoids?(I) They have lower heat of atomization than transition metals
(II) They are soft metals with silvery white colour and densities of about $7 g cm ^{-3}$
(III) They react with water to give the metal hydroxide and oxygen gas.
(IV) They form hydroxides, which are covalent and basic.
View full question & answer→MCQ 1191 Mark
Which of the following compounds is used as an ore of iron?
- A
$Fe _3 O _4$
- B
$FeCO _3$
- ✓
$Fe _2 O _3$
- D
$2 Fe _2 O _3, 3 H _2 O$
AnswerCorrect option: C. $Fe _2 O _3$
View full question & answer→MCQ 1201 Mark
Which of the following reaction is NOT involved in contact process used for manufacturing sulfuric acid?
- A
$\ce{S_{(s)} + O2_{(g)} ->[\Delta] SO2_{(g)}}$
- ✓
$\ce{SO2 + 2H2O + Cl2 -> H2SO4 + 2HCl}$
- C
$\ce{SO3_{(g)} + H2SO4 -> H2S2O7}$
- D
$\ce{2SO2_{(g)} + O2 ->[V2O5] 2SO3_{(g)}}$
AnswerCorrect option: B. $\ce{SO2 + 2H2O + Cl2 -> H2SO4 + 2HCl}$
View full question & answer→MCQ 1211 Mark
How many lone pair of electrons are present on chlorine atom in chlorus acid?
MCQ 1221 Mark
In which of the following oxoacids 'Cl' exhibit +5 oxidation state?
AnswerCorrect option: A. $HOClO _2$
View full question & answer→MCQ 1231 Mark
A first order reaction, A → B takes 100 minutes for it's 90% completion. What is the rate constant of reaction?
- ✓
$0.0230 min^{-1}$
- B
$0.2303 min^{-1}$
- C
$0.0460 min^{-1}$
- D
$0.4606 min^{-1}$
AnswerCorrect option: A. $0.0230 min^{-1}$
View full question & answer→MCQ 1241 Mark
Which among the following is an example of zero order reaction?
- A
Hydrolysis of $CH _3 COOCH _3$
- B
Inversion of $C _{12} H _{22} O _{11}$
- C
Decomposition of $N _2 O _5$
- ✓
Decomposition of $N _2 O$ in presence of catalyst
AnswerCorrect option: D. Decomposition of $N _2 O$ in presence of catalyst
View full question & answer→MCQ 1251 Mark
In the reaction, $\ce{N2 + 3H2 -> 2NH3}$, the rate of disappearance of $H_2$ is 0.02 Mis. The rate of appearance of $NH _3$ is ______.
View full question & answer→MCQ 1261 Mark
During electrolysis of aqueous NaCl, the product obtained at cathode is ____________.
- A
$Cl_{( 2g )}$
- B
$O_{( 2g )}$
- ✓
$H_{( 2g )}$
- D
$H _2 O _{( g )}$
AnswerCorrect option: C. $H_{( 2g )}$
View full question & answer→MCQ 1271 Mark
A solution of $Cu \left( NO _3\right)_2$ is electrolyzed between platinum electrodes using 0.1 Faraday electricity. How many moles of Cu will be deposited at the cathode?
View full question & answer→MCQ 1281 Mark
Which of the following graph represents the variation of `∧` with `sqrt"c"` for acetic acid solution?
MCQ 1291 Mark
For which of the following reaction, ΔH = ΔU?
- A
$\ce{H2O_{(l)} ->[\Delta] H2O_{2(g)}}$
- B
$\ce{PCl_{5(g)} ->[\Delta] PCl_{3(g)} + Cl_{2(g)}}$
- ✓
$\ce{H_{2(g)} + Br_{2(g)} -> 2 HBr_{(g)}}$
- D
$\ce{2CO_{(g)} + O_{2(g)} -> 2 CO_{2(g)}}$
AnswerCorrect option: C. $\ce{H_{2(g)} + Br_{2(g)} -> 2 HBr_{(g)}}$
View full question & answer→MCQ 1301 Mark
Which one of the following has $\Delta S^0 g$ greater than zero?
- ✓
$\ce{NaNO3_{(s)} ⇌ Na^+_{( aq)} + NO^-_{3(aq)}}$
- B
$\ce{N2_{(g)} + 3H2_{(g)} ⇌ 2NH3_{(g)}}$
- C
$\ce{NaCl_{(aq)} ⇌ NaCl_{(s)}}$
- D
$\ce{CaO_{(s)} + CO2_{(g)} ⇌ CaCO3_{(s)}}$
AnswerCorrect option: A. $\ce{NaNO3_{(s)} ⇌ Na^+_{( aq)} + NO^-_{3(aq)}}$
View full question & answer→MCQ 1311 Mark
Combustion of glucose takes place as$\ce{C6H12O6_{(s)} + 6O2_{(g)} -> 6CO2_{(g)} + 6H2O_{(g)}}$; $\Delta H =-72 kcal mol ^{-1}$
The energy needed for the production of 1.8 g of glucose by photosynthesis will be ___________.
View full question & answer→MCQ 1321 Mark
____________ forms a basic buffer solution.
- A
Potassium hydroxide and ammonium chloride
- ✓
Ammonium hydroxide and ammonium chloride
- C
Acetic acid and sodium acetate
- D
Ammonium hydroxide and sodium chloride
AnswerCorrect option: B. Ammonium hydroxide and ammonium chloride
View full question & answer→MCQ 1331 Mark
pH of a solution is 12 . The number $H ^{+}$ions present in $1 cm^3$ of this solution is ____________.
- ✓
$6.022 \times 10^8$
- B
$6.022 \times 10^7$
- C
$6.022 \times 10^{-12}$
- D
$6.022 \times 10^{-7}$
AnswerCorrect option: A. $6.022 \times 10^8$
View full question & answer→MCQ 1341 Mark
Select the INCORRECT option.
- ✓
Degree of dissociation of a weak acid is directly proportional to the square root of its concentration.
- B
Arrhenius theory is applicable only to aqueous solutions.
- C
In weak electrolytes, an equilibrium is established between the ions and nonionized molecules.
- D
The non-electrolytes are those which do not ionize and exist as molecules in aqueous solutions.
AnswerCorrect option: A. Degree of dissociation of a weak acid is directly proportional to the square root of its concentration.
View full question & answer→MCQ 1351 Mark
The unit of ebullioscopic constant ($K_b$) is ____________.
- A
- ✓
$K kg mol ^{-1}$
- C
$K mol ^{-1}$
- D
$kg ^{-1} mol$
AnswerCorrect option: B. $K kg mol ^{-1}$
View full question & answer→MCQ 1361 Mark
At a constant volume, a quantity of an ideal gas has a pressure of 700 mm Hg at 300 K. At what pressure, the temperature will be halved?
MCQ 1371 Mark
Solubility of a gas in liquid increases with ______.
- ✓
increase in pressure and decrease in temperature
- B
decrease in pressure and decrease in temperature
- C
increase in pressure and increase in temperature
- D
decrease in pressure and increase in temperature
AnswerCorrect option: A. increase in pressure and decrease in temperature
View full question & answer→MCQ 1381 Mark
Zinc forms hcp structure. What is the number of tetrahedral voids formed in 0.3 mol of it?
- A
$1.2 \times 10^{23}$
- B
$2.4 \times 10^{23}$
- ✓
$3.6 \times 10^{23}$
- D
$1.8 \times 10^{23}$
AnswerCorrect option: C. $3.6 \times 10^{23}$
View full question & answer→MCQ 1391 Mark
A metallic element crystallizes to bcc type of crystal lattice, having edge length of unit cell 5 A. Calculate radius of its atom.
MCQ 1401 Mark
Sodium crystallizes in bee structure with radius $1.86 \times 10^{-8} cm$. Calculate the edge length of unit cell.
- A
$3.72 \times 10^{-8} cm$
- B
$6.20 \times 10^{-8} cm$
- ✓
$4.29 \times 10^{-8} cm$
- D
$8.05 \times 10^{-8} cm$
AnswerCorrect option: C. $4.29 \times 10^{-8} cm$
View full question & answer→MCQ 1411 Mark
Which of the following reagents can bring about following conversion?$\ce{But-1-ene -> Butan-2-ol}$
AnswerCorrect option: A. (i) Cold cone. $H _2 SO _4$, (ii) $H _2 O$
View full question & answer→MCQ 1421 Mark
I.U.P.A.C name of the following compound is $\begin{array}{cc}
\phantom{..........}\ce{Br}\phantom{...........}\ce{CH3}\\
\phantom{.......}|\phantom{.............}|\\
\ce{CH3 - CH - CH - CH2 - C - CH3}\\
|\phantom{...................}|\\
\phantom{...}\ce{C2H5}\phantom{...............}\ce{C2H5}\end{array}$
- A
5-bromo-3, 3, 6-trimethyloctane
- B
4-bromo-2-ethyl-2, 5-dimethylheptane
- ✓
4-bromo-3, 6, 6-trimethyloctane
- D
3-bromo-2, 5-diethyl-5-methylhexane
AnswerCorrect option: C. 4-bromo-3, 6, 6-trimethyloctane
View full question & answer→MCQ 1431 Mark
Which of the following compounds forms a colloidal solution when dissolved in water?
MCQ 1441 Mark
Based on intermolecular forces, which of the following is a fibre?
MCQ 1451 Mark
Which of the following is CORRECT for the atomic and ionic radii of alkali metals?
MCQ 1461 Mark
Stock notations are used to specify the oxidation numbers of ____________.
- A
- B
"O" in peroxides and superoxides
- C
- ✓
View full question & answer→MCQ 1471 Mark
The hybridization and bond angle in $BeCl_2$molecule are ____________ respectively.
- A
$sp , 120^{\circ}$
- ✓
$sp , 180^{\circ}$
- C
$sp ^2, 120^{\circ}$
- D
$sp ^3, 109.5^{\circ}$
AnswerCorrect option: B. $sp , 180^{\circ}$
View full question & answer→MCQ 1481 Mark
QUESIION The hybridization of nickel in $\left[ NiCl _4\right]^{2-}$ and $\left[ Ni ( CN )_4\right]^{2-}$ are.......... respectively.
- A
$sp ^3, sp ^3$
- B
$dsp ^2, sp ^3$
- C
$s p^3 d^2, d s p^2$
- ✓
$sp ^3, dsp { }^2$
AnswerCorrect option: D. $sp ^3, dsp { }^2$
View full question & answer→MCQ 1491 Mark
How many electrons can fit in the orbital for which n = 4 and l = 2?
MCQ 1501 Mark
How many moles of methane are present in 11.2 Lat S.T.P.?
