MCQ 11 Mark
Logic behind NOT gate is equivalent to that behind, ____________.
- A
- B
combination of AND and OR gates
- ✓
- D
combination of NOR and NAND gates
View full question & answer→MCQ 21 Mark
In transistor amplifier, base-emitter junction is forward biased and collector emitter junction is reverse biased. The current gain is ______.
- ✓
`(DeltaI_"C")/(DeltaI_"B")`
- B
`(DeltaI_"B")/(DeltaI_"E")`
- C
`(DeltaI_"B")/(DeltaI_"C")`
- D
`(DeltaI_"E")/(DeltaI_"B")`
AnswerCorrect option: A. `(DeltaI_"C")/(DeltaI_"B")`
View full question & answer→MCQ 31 Mark
If a charge on the body is 1 nC, then how many electrons are present on the body?
- A
$6.25 \times 10^{28}$
- B
$1.6 \times 10^{19}$
- C
$6.25 \times 10^{27}$
- ✓
$6.25 \times 10^9$
AnswerCorrect option: D. $6.25 \times 10^9$
View full question & answer→MCQ 41 Mark
The radii of the first four Bohr orbits of hydrogen atom are related as ____________.
MCQ 51 Mark
An electromagnetic wave of wavelength '`lambda`' is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have the de-Broglie wavelength '`lambda_1`' then ____________.
- A
- B
`lambda prop 1/lambda_1^2`
- ✓
- D
View full question & answer→MCQ 61 Mark
Following graphs show the variation of stopping potential corresponding to the frequency of incident radiation (F) for a given metal. The correct variation is shown in graph ($v_o$ = Threshold frequency).
View full question & answer→MCQ 71 Mark
The resonant frequency of a series LCR circuit is 'f'. The circuit is now connected to the sinusoidally alternating e.m.f of frequency '2f'. The new reactance $X_L^{\prime}$ and $X_C^{\prime}$ are related as ____________.
- A
$`"X'"_"C" = 2 "X'"_"L"`$
- B
$`"X'"_"C" = "X'"_"L"`$
- ✓
$`"X'"_"C" = 1/4 "X'"_"L"`$
- D
$`"X'"_"C" = 1/2 "X'"_"L"`$
AnswerCorrect option: C. $`"X'"_"C" = 1/4 "X'"_"L"`$
View full question & answer→MCQ 81 Mark
An alternating e.m.f. of 0.2 V is applied across an LCR series circuit having R = 4 `Omega`, C = 80 µF and L = 200 mH. At resonance the voltage drop across the inductor is ____________.
MCQ 91 Mark
Two coils $P$ and $Q$ have mutual inductance $'M' H.$ If the current in the primary is $I = I_0$ sin `omega`t, then the maximum vlaue of e.m.f. indued in coil $Q$ is ____________.
- A
$`omega/("I"_0 "M")`$
- ✓
$`"I"_0 "M" omega`$
- C
$`"M"/("I"_0 omega)`$
- D
$`"I"_0/("M"omega)`$
AnswerCorrect option: B. $`"I"_0 "M" omega`$
View full question & answer→MCQ 101 Mark
A 100 mH coil carries a current of 4 ampere. The energy stored in joules is ____________.
MCQ 111 Mark
The materials having negative magnetic susceptibility are ____________.
- A
- B
both paramagnetic and ferromagnetic
- ✓
- D
View full question & answer→MCQ 121 Mark
The relative magnetic permeability (`mu_"r"`) of a substance is related to its susceptibility (`chi`) as ____________.
MCQ 131 Mark
The space within a current carrying toroid is filled with a m metal of susceptibility $16.5 \times 10^{-6}$. The percentage increase in the magnetic field $B$ is ____________.
- ✓
$1.65 \times 10^{-3}$
- B
$1.65 \times 10^{-4}$
- C
$165 \times 10^{-3}$
- D
$165 \times 10^5$
AnswerCorrect option: A. $1.65 \times 10^{-3}$
View full question & answer→MCQ 141 Mark
If number of turns in moving coil galvanometer becomes half, then the deflection for the same current will become ____________.
MCQ 151 Mark
In a balanced metre bridge, $5 \Omega$ is connected in the left gap and $R \Omega$ in the right gap. When $R \Omega$ is shunted with equal resistance, the new balance point is at $1.6 I_1$ where ' $I_1$ ' is the earlier balancing length. The value of ' $I_1$ ' is______
View full question & answer→MCQ 161 Mark
The current $I_3$ in the following circuit is ____________.
View full question & answer→MCQ 171 Mark
A capacitor of unknown capacitance is connected across a battery of 'V' volt. The charge stored in it is 'Q' coulomb. When the potential across the capacitor is reduced by 'V' volt, the charge stored in it becomes Q' coulomb. The potential V is ______
MCQ 181 Mark
Two capacitors of the same capacity are first joined in series and then in parallel. The ratio of resultant capacity in series to that in parallel combination will be ______
MCQ 191 Mark
The potential differences that must be applied across the parallel and series combination of 3 identical capacitors are such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is ______
MCQ 201 Mark
In Young's double-slit experiment, if the two sources of light are very wide, then ______.
- A
the interference fringes are very narrow.
- ✓
uniform illumination is obtained instead of alternate bright and dark fringes.
- C
the interference fringes are very wide
- D
interference does not occur.
AnswerCorrect option: B. uniform illumination is obtained instead of alternate bright and dark fringes.
View full question & answer→MCQ 211 Mark
In a double slit experiment, the separation between the slits is d and distance of screen from slits is D. If the wavelength of light used is `lambda` and I is the intensity of central bright fringe, then intensity at distance x from central maximum is given by ____________.
- A
`"I sin"^2 ((pi "xd")/(lambda"D"))`
- B
`"I"^2 "sin"^2 ((pi "xd")/(2lambda"D"))`
- ✓
`"I cos"^2 ((pi "xd")/(lambda"D"))`
- D
`"I cos"^2 ((pi^2 "xd")/(lambda"D"))`
AnswerCorrect option: C. `"I cos"^2 ((pi "xd")/(lambda"D"))`
View full question & answer→MCQ 221 Mark
In a biprism experiment, D = 1 m, `lambda` = 6000 Å. When a convex lens is interposed between the biprism ru1d the eyepiece, then the distance between the images of the slits given by the Jens at two positions are 1.5 mm and 6.0 mm. The fringe width will be ______.
MCQ 231 Mark
Two tuning forks have frequencies 380 Hz and 384 Hz respectively. When they are sounded together, maximum sound is heard. How long will it take to hear the minimum sound?
MCQ 241 Mark
The equation of simple harmonic wave is given as y = 5sin `pi/2(100t - x)`, where 'x' and 'y' are in metre and time in second. The period of the wave is ______
MCQ 251 Mark
A uniform metal wire has length 'L', mass 'M', and density 'ρ'. It is under tension 'T' and 'v' is the speed of transverse wave along the wire. The area of cross-section A of the wire is ______
AnswerCorrect option: C. $\left.T / \text { " }^{\prime \prime} v^{\prime \wedge} 2 r h o\right)^{-}$
View full question & answer→MCQ 261 Mark
The total energy of a particle performing S.H.M. is 'NOT' proportional to ______
- A
square of the frequency of oscillation.
- B
square of the amplitude of oscillation
- C
- ✓
displacement from the mean position.
AnswerCorrect option: D. displacement from the mean position.
View full question & answer→MCQ 271 Mark
A body of mass 5 g is in S.H.M. about a point with amplitude 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance of, ____________.
MCQ 281 Mark
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude A and time period T. The speed of the pendulum at x =A/2 will be ____________.
MCQ 291 Mark
The specific heat of hydrogen gas at constant pressure is $Cp =6.4 \times 10^3 cal / kg { }^{\circ} C$ and at constant volume is $CV =4.4$ $\times 10^3 cal / kg { }^{\circ} C$. If one kilogram of hydrogen gas is heated from $10^{\circ} C$ to $20^{\circ} C$ at constant pressure, the external work done on the gas to maintain it at constant pressure is ______.
AnswerCorrect option: C. $20 \times 10^3$ calories
View full question & answer→MCQ 301 Mark
We consider a thermodynamic system. If `Delta"U"` represents the increase in its internal energy and W the work done by the system, which of the following statements is true?
- A
`Delta"U"`=-W in an isothermal process
- B
`Delta"U"`= W in an adiabatic process
- C
`Delta"U"`= W in an isothermal process
- ✓
`Delta"U"` =-W in an adiabatic process
AnswerCorrect option: D. `Delta"U"` =-W in an adiabatic process
View full question & answer→MCQ 311 Mark
For an isothermal expansion of a perfect gas, the value of `(Delta "P")/"P"` is equal to ____________.
- A
- B
`-gamma^(1//2) (Delta"V")/"V"`
- ✓
- D
`-gamma^2 (Delta"V")/"V"`
View full question & answer→MCQ 321 Mark
The radiation energy density per unit wavelength at a temperature T has a maximum at a wavelength `lambda_0.` At temperature 4T, it will have a maximum at a wavelength ____________.
MCQ 331 Mark
If the emissive and absorptive powers of a body are E and A respectively at temperature T, then the emissive power of a blackbody will be ____________.
MCQ 341 Mark
A molecule consists of two atoms each of mass 'm' and separated by a distance 'd'. At room temperature the average rotational kinetic energy is 'E', then its angular frequency is ______.
MCQ 351 Mark
A small spherical solid ball is dropped from a great height in a viscous liquid. Its journey in the liquid is best described in the diagram given below by the ____________.
MCQ 361 Mark
The viscous force acting on a small spherical rain drop falling through stormy air cannot be calculated using Stoke's law because ____________.
- A
the dimensions of rain drop is negligible
- ✓
the motion of air layers relative to raindrop is not streamlined
- C
the medium through which the rain drop is falling is not liquid
- D
AnswerCorrect option: B. the motion of air layers relative to raindrop is not streamlined
View full question & answer→MCQ 371 Mark
Water rises to a height of 15 mm in a capillary tube having cross-sectional area 'A'. If cross-sectional area of the tube is made `"'A'"/3` then the water will rise to a height of ______.
MCQ 381 Mark
Force `vecF` is acting on a particle having position vector `vecr`. Let `vectau` be the torque of this force about the origin. The correct equation is ______.
- ✓
`vecr*vectau=0 "and" vecF*vectau=0`
- B
`vecr*vectaune0 "and" vecF*vectaune0`
- C
`vecr*vectau=0 "and" vecF*vectaune0`
- D
`vecr*vectaune0 "and" vecF*vectau=0`
AnswerCorrect option: A. `vecr*vectau=0 "and" vecF*vectau=0`
View full question & answer→MCQ 391 Mark
The direction of angular momentum of particle is ____________.
- A
same as that of position vector of particle
- B
parallel to the plane formed by position vector and linear momentum
- ✓
perpendicular to the plane formed by position vector and linear momentum
- D
same as that of linear momentum
AnswerCorrect option: C. perpendicular to the plane formed by position vector and linear momentum
View full question & answer→MCQ 401 Mark
A sphere of mass 'M' is attached to one end of a metal wire having length 'L' and diameter 'D'. It is whirled in a vertical circle of radius R with angular velocity 'ω'. When the sphere is at lowest point of its path, the elongation of the wire is ______.
(Y= Young's modulus of the material of the wire, g =acceleration due to gravity)
- A
`(2"ML"("R"^2omega^2+g))/(pi"D"^2"Y")`
- B
`("ML"("R"omega^2+g))/(2pi"D"^2"Y")`
- ✓
`(4"ML"("R"omega^2+g))/(pi"D"^2"Y")`
- D
`(6"ML"("R"^2omega^2+g))/(pi"D"^2"Y")`
AnswerCorrect option: C. `(4"ML"("R"omega^2+g))/(pi"D"^2"Y")`
View full question & answer→MCQ 411 Mark
Let $n_h$ and $n_e$ be the number of holes and conduction electrons respectively in a semiconductor. Then ______.
- A
$n _{ h }= n _{ e }$ in an extrinsic semiconductor.
- B
$n _{ h }> n _{ e }$ in an intrinsic semiconductor.
- ✓
$n _{ h }= n _{ e }$ in an intrinsic semiconductor.
- D
$n _{ e }> n _{ h }$ in an intrinsic semiconductor.
AnswerCorrect option: C. $n _{ h }= n _{ e }$ in an intrinsic semiconductor.
View full question & answer→MCQ 421 Mark
The energy density of a medium is $3.54 \times 10^{-5} J / m ^3$. The intensity of electric field in the medium of dielectric constant 2 is ______.
- A
$1 \times 10^3 N / C$
- B
$4 \times 10^3 N / C$
- ✓
$2 \times 10^3 N / C$
- D
$8 \times 10^3 N / C$
AnswerCorrect option: C. $2 \times 10^3 N / C$
View full question & answer→MCQ 431 Mark
An object is placed at a distance u from a concave mirror and its real image is formed on the screen placed at distance v from the mirror. If f is the focal length of the mirror, then the graph between `1/"v"` versus `1/"u"` is (magnitude only).
MCQ 441 Mark
A transverse wave is travelling on a string with velocity 'V'. The extension in the string is 'x'. If the string is extended by 50%, the speed of the wave along the string will be nearly ______.
(Hooke's law is obeyed)
MCQ 451 Mark
If velocity of sound in a gas is 360 m/s and the distance between a compression and the nearest rarefaction is 2 m, then the frequency of sound is ____________.
MCQ 461 Mark
A metal rod of length Land cross-sectional area A is heated through T °C. What is the force required to prevent the expansion of the rod lengthwise?
(Y = Young's modulus of material of the rod, α = coefficient of linear expansion of the rod.)
- A
`("YA"alpha)/(1-alpha"T")`
- ✓
`("YA"alpha"T")/(1+alpha"T")`
- C
`("YA"alpha)/("T"(1+alpha"T"))`
- D
`("YA"alpha"T")/(1-alpha"T")`
AnswerCorrect option: B. `("YA"alpha"T")/(1+alpha"T")`
View full question & answer→MCQ 471 Mark
If a body weighing 40 kg-wt is taken inside the earth to a depth to `1/2` th radius of the earth, then the weight of the body at that point is ____________.
MCQ 481 Mark
At a height R above the earth's surface, the gravitational acceleration is ______.
(R = radius of earth, g = acceleration due to gravity on earth's surface.)
MCQ 491 Mark
A mass of 1 kg is suspended by a string. It is first lifted up with an acceleration of $4.9 m / s ^2$ and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is $g =9.8 m / s ^2$______.
View full question & answer→MCQ 501 Mark
A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference is ____________.
MCQ 511 Mark
If the probability density function continuous random variable X is$f(x)=k\left(1-x_2\right) ; 0<x<1$
= 0 ; otherwise
Then P`(0 < X < 1/2)` = ?
View full question & answer→MCQ 521 Mark
A pair of dice is thrown and X denotes the absolute difference of the numbers on uppermost faces. Then the expected value of X is ______
MCQ 531 Mark
A random variable X has the following probability distribution:
| $X = x _{ i }$ |
1 |
2 |
3 |
4 |
| $P = x _{ i }$ |
0.2 |
0.15 |
0.3 |
0.35 |
The mean and the variance are respectively ______. View full question & answer→MCQ 541 Mark
The slope of the tangent to the curves $x=4 t^3+5, y=t^2-3$ at $t=1$ is______
View full question & answer→MCQ 551 Mark
The solution of the differential equation `(y^2 + xy^2)dx/dy + x^2 - yx^2 = 0` is ______
- A
log(xy) + `1/x + 1/y + c`
- B
log(xy) = `1/x + 1/y + c`
- C
`log(y/x) = 1/x + 1/y + c`
- ✓
`log(x/y) = 1/x + 1/y + c`
AnswerCorrect option: D. `log(x/y) = 1/x + 1/y + c`
View full question & answer→MCQ 561 Mark
If m and n are the order and degree of the differential equation `((d^3y)/(dx^3))^6+5((d^3y)/(dx^3))^4/((d^4y)/(dx^4))+(d^4y)/(dx^4)=x^3-1,` then ______.
MCQ 571 Mark
At any point on a curve, the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point. If the curve passes through (0, 1), then the equation of the curve is ______.
MCQ 581 Mark
The area enclosed by the parabolas $x=y^2-1$ and $x=1-y^2$ is ______.
View full question & answer→MCQ 591 Mark
`int_0^1 "e"^(5logx) "d"x` = ______.
MCQ 601 Mark
The value of `int_2^7 (sqrtx)/(sqrt(9 - x) + sqrtx)dx` is ______
MCQ 611 Mark
`int_0^1 x(1 - x)^5 "dx" =` ______.
MCQ 621 Mark
`int_0^2 1/sqrt(4 - x^2)dx` = ______
MCQ 631 Mark
int "e"^ $x$ int $[(2-\sin 2 x) /(1-\cos 2 x)]^{\prime} d x= ______.
- A
$e^x \cot +c$
- B
$-e^x \tan 2 x+c$
- ✓
$-e^{ x } \cot + c$
- D
$e ^{ x } \tan + c$
AnswerCorrect option: C. $-e^{ x } \cot + c$
View full question & answer→MCQ 641 Mark
The value of integral `int1/([(x-1)^3(x+2)^5]^(1/4)) dx` is ______.
- A
`4/3((x+1)/(x+2))^(1/4)+c`
- ✓
`4/3((x-1)/(x+2))^(1/4)+c`
- C
`4/3((x+1)/(x-2))^(1/4)+c`
- D
`4/3((x-1)/(x-2))^(1/4)+c`
AnswerCorrect option: B. `4/3((x-1)/(x+2))^(1/4)+c`
View full question & answer→MCQ 651 Mark
For every value of x, the function f(x) = `1/7^x` is ______
- A
Neither increasing nor decreasing
- B
- C
Increasing for x > 0 and decreasing for x < 0
- ✓
View full question & answer→MCQ 661 Mark
The function $f(x)=9-x^5-x^7$ is decreasing for
View full question & answer→MCQ 671 Mark
If `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+....oo))),` then `dy/dx` equals ______.
MCQ 681 Mark
`"d"/"dx" [(cos x)^(log x)]` = ______.
- A
`(cos x)^(log x) (x log cos x - tan x log x)`
- B
`(cos x)^(log x) (1/x log cos x + log x)`
- ✓
`(cos x)^(log x) (1/x log cos x - tan x log x)`
- D
`(cos x)^(log x) (1/x log cos x + tan x)`
AnswerCorrect option: C. `(cos x)^(log x) (1/x log cos x - tan x log x)`
View full question & answer→MCQ 691 Mark
Let y = `cot^-1((5x^2 + 1)/(4x)) + cot^-1((2x - 3)/(2 + 3x))`, then `dy/dx` = ______
MCQ 701 Mark
Maximum value of 4x + 13y subject to constraints x ≥ 0, y ≥ 0, x + y ≤ 5 and 3x + y ≤ 9 is ______.
MCQ 711 Mark
If $S_1$ and $S_2$ are respectively the sets of local minimum and local maximum points of the function, $f(x)=9 x^4+12 x^3-$ $36 x^2+25, x \in R$, then ______
- ✓
$S_1=\{-2,1\} ; S_2=\{0\}$
- B
$S_1=\{-2,0\} ; S_2=\{1\}$
- C
$S_1=\{-1\} ; S_2=\{0,2\}$
- D
$S_1=\{-2\} ; S_2=\{0,1\}$
AnswerCorrect option: A. $S_1=\{-2,1\} ; S_2=\{0\}$
View full question & answer→MCQ 721 Mark
The angle between the lines represented by the equation ax $x^2+x y+b y^2=0$ will be $45^{\circ}$, if______
View full question & answer→MCQ 731 Mark
The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is ______
MCQ 741 Mark
If the lines `(x + 1)/"k" = ("y + 3")/(- 1) = ("z" - 4)/1` and `(x + 10)/(-1) = ("y + 1")/(-3) = ("z - 1")/4` intersect each other, then the value of k is ______.
MCQ 751 Mark
The value of `hati . (hatj xx hatk) + hatj . (hatk xx hati) + hatk . (hati xx hatj)` is ______
MCQ 761 Mark
The image of the point (1, 6, 3) in the line `x/1 = (y - 1)/2 = (z - 2)/3` is ______
MCQ 771 Mark
If `overline"u"` and `overline"v"` are unit vectors and θ is the acute angle between them, then `2overline"u" xx 3overline"v"` is a unit vector for ______
- A
- B
more than two values of θ
- C
- ✓
View full question & answer→MCQ 781 Mark
If lines represented by equation $p x^2-q y^2=0$ are distinct, then ______
View full question & answer→MCQ 791 Mark
If the slope of one of the lines represented by $k x^2-4 x y+y^2=0$ is thrice the other, then k is equal to ______.
View full question & answer→MCQ 801 Mark
If $a x^2+2 x y-3 y^2+4 x+c=0$ represents a pair of perpendicular lines, then ______.
View full question & answer→MCQ 811 Mark
The value of `cos(pi/4 + x) - cos(pi/4 - x)` is ______.
MCQ 821 Mark
In a ΔABC, if a = `sqrt(2)` x and b = 2y and ∠C = 135°, then the area of triangle is ______.
MCQ 831 Mark
If `(tan 3 theta - 1)/(tan 3 theta + 1) = sqrt3`, then the general value of θ is ______.
MCQ 841 Mark
The value of $\theta$ in $(\pi, 2 \pi)$ satisfying the equation $\sin ^2 \theta-\cos ^2 \theta=1$ is ______
View full question & answer→MCQ 851 Mark
If $\sin ^{-1} x={ }^{\prime} p i / 10^{\prime}$, for some $x \in[-1,1]$, then the value of $\cos ^{-1} x$ is _______.
View full question & answer→MCQ 861 Mark
If A is a solution of $x ^2-4 x +3=0$ and ${ }^{\prime} A =[[2,-1],[-1,2]]$,' then $A ^{-1}$ equals______.
- A
`[[2/3,-1/3],[1/3,-2/3]]`
- B
- ✓
- D
View full question & answer→MCQ 871 Mark
If `[(2, 3), (3, 1)][(x), (y)] = [(-5), (3)]`, then the values of x and y respectively are ______
MCQ 881 Mark
The statement pattern p ∧ (∼p ∧ q) is ______.
MCQ 891 Mark
Which one of the following statements is not a tautology?
MCQ 901 Mark
If the truth value of statement (q ∧ ~ r) → p is false (F), then the truth values of the statements p, q, rare respectively.
MCQ 911 Mark
If f(x) = `{(8-6x; 0<x≤2), (4x-12; 2<x≤3),(2x+10; 3<x≤6):}` then f(x) is ______
- A
discontinuous at x = 2 and x = 3
- B
continuous at x = 2 and x = 3
- ✓
continuous at x = 2 and discontinuous at x = 3
- D
continuous at x = 3 and discontinuous at x = 2
AnswerCorrect option: C. continuous at x = 2 and discontinuous at x = 3
View full question & answer→MCQ 921 Mark
If `lim_(x->1)(x^5-1)/(x-1)=lim_(x->k)(x^4-k^4)/(x^3-k^3),` then k = ______.
MCQ 931 Mark
The range of the function f(x) = `(x^2 - 3x + 2)/(x^3 - 4x^2 + 5x - 2)` is ______
MCQ 941 Mark
If `((11 - "n")!)/((10 - "n")!) = 9,`then n = ______.
MCQ 951 Mark
If $z_1=3-2 i$ and $z_2=-1+3 i$, then $\operatorname{Im}\left(z_1 z_2\right)=$ ______.
View full question & answer→MCQ 961 Mark
If A and B are two events such that P(A) = `1/3`, P(A + B) = `5/9` and P(AB) = `2/9`, then P(B) = ______
MCQ 971 Mark
The mean of 5 observations is 4.8 and their variance is 4.56. If three observations are 2, 3, and 5, the other two observations are ______
MCQ 981 Mark
The equation of the circle which passes through the points (5, 1) and (7, -3) and the centre lies on the straight line 4x + 3y + 1 = 0, is ______
- ✓
$x^2+y^2-4 x+6 y-12=0$
- B
$x^2+y^2-4 x+6 y+12=0$
- C
$x^2+y^2-4 x-10 y+12=0$
- D
$x^2+y^2+4 x-10 y+12=0$
AnswerCorrect option: A. $x^2+y^2-4 x+6 y-12=0$
View full question & answer→MCQ 991 Mark
Point of the curve $y^2=3(x-2)$ at which the normal is parallel to the line $2 y+4 x+5=0$ is______.
View full question & answer→MCQ 1001 Mark
The value of sin 163° cos 347° + sin 167° sin 73° is ______
MCQ 1011 Mark
In the manufacture of phenol from isopropyl benzene, the important by-product obtained is ____________.
MCQ 1021 Mark
Identify the polymer obtained by polymerization of n moles of acrylonitrile.
MCQ 1031 Mark
Identify the natural polymer from the following.
MCQ 1041 Mark
What is the quantity of glucose obtained when 68.4 g of sucrose is hydrolyzed in laboratory under ideal condition? $\left(\right.$ Molar mass of sucrose $\left.=342 g mol ^{-1}\right)$
View full question & answer→MCQ 1051 Mark
What is the number of hydroxyl groups present in lactic acid?
MCQ 1061 Mark
What is the product obtained in the following reaction?
- ✓
Benzene diazonium chloride
- B
- C
- D
AnswerCorrect option: A. Benzene diazonium chloride
View full question & answer→MCQ 1071 Mark
When X is treated with ethanoyl chloride in presence of pyridine, N-methyl-N-phenylethanamide is formed. Identify compound X.
MCQ 1081 Mark
If acetaldehyde is treated with Fehling's solution, the change that occurs in the system is ____________.
MCQ 1091 Mark
Identify the INCORRECT reaction.
- A
$\ce{5ICl + 3H2O -> HIO3 + 5HCl + I2}$
- B
$\ce{ICl3 ->[341 K] ICl + Cl2}$
- C
$\ce{Br2 + ClF3 -> 2BrF3 + BrCl}$
- ✓
$\ce{BrCl + H2O -> HOCl + HBr}$
AnswerCorrect option: D. $\ce{BrCl + H2O -> HOCl + HBr}$
View full question & answer→MCQ 1101 Mark
Propane nitrile on reaction with ethyl magnesium iodide in presence of dry ether gives complex. This imine complex on acid hydrolysis forms.
MCQ 1111 Mark
Identify product B in the following conversion? $\ce{Phenol ->[NaOH] A ->[CH3I] B}$
View full question & answer→MCQ 1121 Mark
The number of moles of hydrogen gas formed when 2 moles of 2-methylpropan-2-ol reacts with aluminium is ____________.
MCQ 1131 Mark
The number of asymmetric carbon atoms present in 2, 3-dichloro-4-methyl pentane is ____________.
MCQ 1141 Mark
How many asymmetric carbon atoms are present in a molecule if it has 16 optical isomers?
MCQ 1151 Mark
What is the type of magnetic behavior and geometry respectively in Cuproammonium sulphate (Atomic number of Cu = 29)?
- A
Paramagnetic and tetrahedral
- ✓
Paramagnetic and square planar
- C
Diamagnetic and pyramidal
- D
Diamagnetic and tetrahedral
AnswerCorrect option: B. Paramagnetic and square planar
View full question & answer→MCQ 1161 Mark
What is the IUPAC name of the following compound? $\begin{array}{cc}
\phantom{..........}\ce{CH3}\phantom{....}\ce{O}\phantom{}\\
\phantom{..........}|\phantom{.....}//\phantom{}\\
\ce{CH3-C-C}\\
\phantom{........}|\phantom{.....}\backslash\\
\phantom{..........}\ce{H}\phantom{......}\ce{H}
\end{array}$
View full question & answer→MCQ 1171 Mark
Which among the following actinoids exhibits highest oxidation state +7?
MCQ 1181 Mark
Which of the following actinoids shows +6 oxidation state?
MCQ 1191 Mark
Which of the following elements exhibits oxidation states from +1 to +6?
MCQ 1201 Mark
What type of hybridization is observed in interhalogen compounds of the type $\ce{XX^'_3}$?
- A
$sp ^3 d^2$
- B
$sp ^2$
- ✓
$sp ^3 d$
- D
$sp ^3$
AnswerCorrect option: C. $sp ^3 d$
View full question & answer→MCQ 1211 Mark
$\ce{Cl2 + H2S -> 2HCl + S}$ In the above reaction, oxidation state of sulphur changes from ____________.
View full question & answer→MCQ 1221 Mark
When zinc sulfide is roasted, gas 'A' is formed. Which of the following is INCORRECT about gas 'A'?
- A
It is used in refining of petroleum and sugar.
- ✓
It is insoluble in water.
- C
It acts as a reducing agent in the presence of moisture.
- D
It is a resonance hybrid of two canonical forms.
AnswerCorrect option: B. It is insoluble in water.
View full question & answer→MCQ 1231 Mark
In the manufacture of ammonia by Haber's process, $Al _2 O _3$ does not act as a catalyst but increases the activity of the catalyst. The role of $Al _2 O _3$ can be best described as.........
View full question & answer→MCQ 1241 Mark
Which among the following is an example of pseudo first order reaction?
- A
$\ce{2N2O5_{(g)} -> 4NO2_{(g)} + O2_{(g)}}$
- B
$\ce{H2O2_{(l)} -> 2H2O_{(l)} + O2_{(g)}}$
- C
$\begin{array}{cc}
\ce{CH2}\phantom{........................}\\
\phantom{}/\phantom{....}\backslash\phantom{.........................}\\
\ce{CH2 - CH2 -> CH3 - CH = CH2}
\end{array}$
- ✓
$\ce{CH3COOCH3_{(aq.)} + H2O_{(l)} -> CH3COOH_{(aq.)} + CH3OH_{(aq.)}}$
AnswerCorrect option: D. $\ce{CH3COOCH3_{(aq.)} + H2O_{(l)} -> CH3COOH_{(aq.)} + CH3OH_{(aq.)}}$
View full question & answer→MCQ 1251 Mark
Half-life period of a first order reaction, $\ce{A -> product}$ is 3.0 hours. What is the value of rate constant?
- A
$1.596 h^{-1}$
- ✓
$0.231 h^{-1}$
- C
$4.329 h^{-1}$
- D
$2.079 r^{-1}$
AnswerCorrect option: B. $0.231 h^{-1}$
View full question & answer→MCQ 1261 Mark
Select the INCORRECT statement regarding galvanic cell notation.
- A
A single vertical line between two phases indicates the direct contact between them.
- B
The aqueous solutions of ions are placed at the middle of the cell formula.
- C
A double vertical line between two solutions indicates that they are connected by salt bridge.
- ✓
The right hand side electrode is anode and left hand side electrode is cathode.
AnswerCorrect option: D. The right hand side electrode is anode and left hand side electrode is cathode.
View full question & answer→MCQ 1271 Mark
The quantity of electricity required to produce 9.6 g of Mg by electrolysis of $MgCl _2$ is ........
[Given: Atomic mass of $Mg =24 g mol ^{-1}$ ]
View full question & answer→MCQ 1281 Mark
The SI unit of resistivity and molar conductivity are respectively ____________.
- A
$\Omega^{-1}, S m ^2$
- ✓
$\Omega m , S m ^2 mol^{-1}$
- C
$\Omega^{-1}, \Omega m mol ^{-1}$
- D
$\Omega^{-1} m^{-1}, Sm ^{-2} mol^{-1}$
AnswerCorrect option: B. $\Omega m , S m ^2 mol^{-1}$
View full question & answer→MCQ 1291 Mark
When 2 moles of $C _2 H _{6(g)}$ are completely burnt, 3129 kJ of heat is liberated. If $\Delta H _{ f }$ for $CO _{2(g)}$ and $H _2 O _{( l }$ are -395 and - 286 kJ per mole respectively, the heat combustion of $C _2 H _{6(g)}$ is ........
View full question & answer→MCQ 1301 Mark
When 6.0 g of $O _2$ reacts with CIF as per $\ce{2ClF_{(g)} + O2_{(g)} -> Cl2O_{(g)} + OF2_{(g)}}$ the enthalpy change is 38.55 kJ. The standard enthalpy of the reaction is ____________.
View full question & answer→MCQ 1311 Mark
A gas absorbs 250 J of heat and expands from $1 dm ^3$ to $10 dm ^3$ at constant temperature against external pressure of 0.5 bar. The values of $Q, W$ and $\Delta U$ will be respectively ____________.
View full question & answer→MCQ 1321 Mark
The CORRECT relationship between molar solubility ( S ) and solubility product $\left( K _{ sp }\right)$ for salt, $Cr ( OH )_3$ is____________.
- A
$K _{ sp }=27 S^3$
- ✓
$K_{ sp }=27 S^4$
- C
$K_{ sp }=4 S^3$
- D
$K_{ sp }= S ^3$
AnswerCorrect option: B. $K_{ sp }=27 S^4$
View full question & answer→MCQ 1331 Mark
The least basic hydroxide from the following is:
AnswerCorrect option: A. $Ho ( OH )_3(Z=67)$
View full question & answer→MCQ 1341 Mark
Identify the CORRECT statement.
AnswerCorrect option: A. All Bronsted bases are also Lewis bases.
View full question & answer→MCQ 1351 Mark
Why is observed molar mass of acetic acid in benzene is greater than actual molar mass?
- A
Due to hydrolysis of solute
- B
Due to dissociation of solute particles
- C
Due to ionization of solute particles
- ✓
Due to association of solute particles
AnswerCorrect option: D. Due to association of solute particles
View full question & answer→MCQ 1361 Mark
Identify the INCORRECT statement.
- A
Vapour pressure of solution is lower than that of pure solvent.
- ✓
Osmosis is a colligative property.
- C
Boiling point of solvent is lower than that of solution.
- D
Osmotic pressure of solution is greater than that of solvent.
AnswerCorrect option: B. Osmosis is a colligative property.
View full question & answer→MCQ 1371 Mark
At $298 K, 1 L$ of solution containing 5.00 g of solute shows osmotic pressure of 2.5 atm . The molar mass of the solute is......$g mol ^{-1}$.
View full question & answer→MCQ 1381 Mark
Schottky defect is formed in ionic compounds with ____________.
- A
high degree of ionic character
- ✓
both high degree of ionic character and high coordination number of anion
- C
large difference between size of cation and anion
- D
high coordination number of anion
AnswerCorrect option: B. both high degree of ionic character and high coordination number of anion
View full question & answer→MCQ 1391 Mark
Copper crystallizes as face centered cubic lattice, with edge length of unit cell 361 pm. Calculate the radius of copper atom.
MCQ 1401 Mark
A metallic element crystallizes in simple cubic lattice. If edge length of the unit cell is $3 \mathring A$, with density $8 g / cc$, what is the number of unit cells in 108 g of the metal?
(Molar mass of metal $=100 g / mol$ )
- ✓
$2 \times 10^{23}$
- B
$1.33 \times 10^{20}$
- C
$2.7 \times 10^{22}$
- D
$2 \times 10^{24}$
AnswerCorrect option: A. $2 \times 10^{23}$
View full question & answer→MCQ 1411 Mark
Sodium benzoate on decarboxylation gives ____________.
MCQ 1421 Mark
Which reagent can be used to convert 1-nitropropane to propan-1-amine?
- A
$Br _2 /$ aq. KOH
- ✓
- C
Alc. $NH _3$
- D
View full question & answer→MCQ 1431 Mark
Which of the following is multimqlecular colloid?
- A
Aqueous solution of protein
- B
Aqueous polyvinyl alcohol
- C
Solution of rubber in organic solvent
- ✓
View full question & answer→MCQ 1441 Mark
The density of an ideal gas can be expressed as d = ____________.
MCQ 1451 Mark
Which of the following alkaline earth metals has the least affinity towards oxygen?
MCQ 1461 Mark
Which of the following is NOT an example of redox reaction?
- A
$\ce{I2 + 2S2O^{2-}_3 -> S4O^{2-}_6 + 2I^-}$
- B
$\ce{C + O2 -> CO2}$
- ✓
$\ce{HF + OH^- -> H2O + F^-}$
- D
$\ce{3H3AsO3 + BrO^-_3 -> Br^- + 3H3AsO4}$
AnswerCorrect option: C. $\ce{HF + OH^- -> H2O + F^-}$
View full question & answer→MCQ 1471 Mark
What type of hybridization results in trigonal geometry?
- A
$s p^3$
- ✓
$s p^2$
- C
$dsp { }^2$
- D
AnswerCorrect option: B. $s p^2$
View full question & answer→MCQ 1481 Mark
The overlap of orbitals involved in the formation of C - Br bond in vinyl bromide is ______.
- A
$s p^3-3 p_z$
- B
$s p^3-4 p_z$
- C
$s p^2-3 p_z$
- ✓
$s p^2-4 p_z$
AnswerCorrect option: D. $s p^2-4 p_z$
View full question & answer→MCQ 1491 Mark
The principal quantum number (n) and magnetic quantum number $(m_1)$ for the valence electrons of rubidium atom (Z = 37) are ____________ respectively.
View full question & answer→MCQ 1501 Mark
In the reaction, $\ce{2 KClO_{3(S)} -> 2KCl_{(s)} + 3O_{2(g)} \Delta H°}$ = - 78kJ. If 33.6 L of oxygen gas is liberated at STP, what is the mass of $KCl _{(s)}$ produced? (Atomic mass: $K =39, Cl =35.5 g mol ^{-1}$ )
View full question & answer→
