MCQ 11 Mark
A body of mass $64 g$ is made to oscillate turn by turn on two different springs $A$ and $B$. Spring $A$ and $B$ has force constant $4 \frac{ N }{ m }$ and $16 \frac{ N }{ m }$ respectively. If $T_1$ and $T_2$ are period of $m$ oscillations of springs $A$ and $B$ respectively, then $\frac{T_1+T_2}{T_1-T_2}$ will be
View full question & answer→MCQ 21 Mark
A body is moving along a circular track of radius $100 m$ with velocity $20 m/s.$ Its tangential acceleration is $3 m/s^2,$ then its resultant acceleration will be $.....$
- A
$2 m/s^2$
- B
$3 m/s^2$
- ✓
$5 m/s^2$
- D
$4 m/s^2$
AnswerCorrect option: C. $5 m/s^2$
$5 m/s^2$
View full question & answer→MCQ 31 Mark
Two circular loop A and B of radii Rand NR respectively are made from a uniform wire. Moment of inertia of B about its axis is 3 times that of A about its axis. The value of N is ______.
- ✓
$[3]^{\frac{1}{3}}$
- B
$[4]^{\frac{1}{3}}$
- C
$[2]^{\frac{1}{3}}$
- D
$[5]^{\frac{1}{3}}$
AnswerCorrect option: A. $[3]^{\frac{1}{3}}$
View full question & answer→MCQ 41 Mark
Two galvanometers $A$ and $B$ require currents of $4 mA$ and $7 mA$, respectively to produce the same deflection of $20$ divisions. If $S_A$ and $S_B$ are their sensitivities respectively, then $....$
AnswerCorrect option: A. $S_A > S_B$
$S_A > S_B$
View full question & answer→MCQ 51 Mark
By increasing the aperture of the objective lens, wavelength of light, focal length of the objective lens and the resolving power of an astronomical telescope respectively.
- A
increases, decreases, is not affected
- ✓
is not affected, increases, increases
- C
decreases, increases, is not affected
- D
is not affected, increases, decreases
AnswerCorrect option: B. is not affected, increases, increases
View full question & answer→MCQ 61 Mark
In an intrinsic semiconductor, at an ordinary temperature, the correct relation between the number of electrons per unit volume $n_e$ and number of holes per unit volume $n_h$ is $.....$
- A
$n_{e =} n_{h }= 0$
- B
$n_e< n_h$
- C
$n_e > n_h$
- ✓
$n_{e }= n_h$
AnswerCorrect option: D. $n_{e }= n_h$
$n_{e }= n_h$
View full question & answer→MCQ 71 Mark
An AC circuit contains resistance of 12Q and inductive reactance 5Q. The phase angle between current and potential difference will be ______.
- ✓
$\cos ^{-1}\left(\frac{12}{13}\right)$
- B
$\sin ^{-1}\left(\frac{12}{13}\right)$
- C
$\cos ^{-1}\left(\frac{5}{12}\right)$
- D
$\sin ^{-1}\left(\frac{5}{12}\right)$
AnswerCorrect option: A. $\cos ^{-1}\left(\frac{12}{13}\right)$
View full question & answer→MCQ 81 Mark
The fundamental frequency of a closed pipe is $400 Hz$. If $\frac{1}{3}$ rd pipe !s tilled with water, then the 3 frequency of 2nd harmonic of the pipe will be (neglect and correction).
View full question & answer→MCQ 91 Mark
Let $x=\pi R\left(\frac{P^2-Q^2}{2}\right)$, where $P, Q$ and Rare lengths. The physical quantity $x$ is
View full question & answer→MCQ 101 Mark
For a paramagnetic substance, the magnetic susceptibility is ______.
View full question & answer→MCQ 111 Mark
The Brewster's angle for the glass-air interface is $(54.74)^\circ $. If a ray of light passing from air to glass strickes at an angle of incidence $45^\circ ,$ then the angle of refraction is $......$
$\left[\tan (54.74)^{\circ}=\sqrt{2}, \sin 45=\frac{1}{\sqrt{2}}\right]$
AnswerCorrect option: D. $\sin^{-1}(0.5)$
$\sin^{-1}(0.5)$
View full question & answer→MCQ 121 Mark
A bob of a simple pendulum has mass m and is oscillating with an amplitude a. If the length of the pendulum is L, then the maximum tension in the string is [cos 0° = 1, g = acceleration due to gravity]
- A
$mg \left[1+\left(\frac{ L }{ a }\right)^2\right]$
- B
$mg \left[1-\left(\frac{ a }{ L }\right)^2\right]$
- C
$mg \left[1-\left(\frac{ L }{ a }\right)^2\right]$
- ✓
$mg \left[1+\left(\frac{ a }{ L }\right)^2\right]$
AnswerCorrect option: D. $mg \left[1+\left(\frac{ a }{ L }\right)^2\right]$
View full question & answer→MCQ 131 Mark
An object is clearly seen through an astronomical telescope of length 50 cm. The focal lengths of its objective and eye-piece respectively can be ______.
View full question & answer→MCQ 141 Mark
A uniform metal wire has length $L,$ mass $M$ and density $p$. It is under tension $T$ and $v$ is the speed of transverse wave along the wire. The area of cross-section of the wire is $.....$
- A
$Tv^2\rho$
- ✓
$\frac{ T }{ v ^2 \rho}$
- C
$\frac{ v ^2 \rho}{ T }$
- D
$T^2\rho v$
AnswerCorrect option: B. $\frac{ T }{ v ^2 \rho}$
$\frac{ T }{ v ^2 \rho}$
View full question & answer→MCQ 151 Mark
A transistor having α = 0.8 is connected in common emitter configuration. When the base current changes by 6 mA, then the change in collector current is ______.
View full question & answer→MCQ 161 Mark
A rope is wound around a solid cylinder of mass $1 \ kg$ and radius $0.4 m$. What is the angular acceleration of cylinder, if the rope is pulled with a force of $25 N? ( $Cylinder is rotating about its own axis.$)$
- A
$1 \ rad/s^2$
- B
$10 \ rad/s^2$
- ✓
$125 \ rad/s^2$
- D
$50 \ rad/s^2$
AnswerCorrect option: C. $125 \ rad/s^2$
$125 \ rad/s^2$
View full question & answer→MCQ 171 Mark
What is the angle between resultant of A + B and A x B.
- A
$\frac{\pi}{4} rad$
- ✓
$\frac{\pi}{2} rad$
- C
- D
AnswerCorrect option: B. $\frac{\pi}{2} rad$
View full question & answer→MCQ 181 Mark
A ray of light is incident at an angle i on one face of a thin angled prism. The ray emerges normally from the other face. Refractive index of the glass prims is n and angle of prism is A. The value of i is $......$
- A
$A^2n$
- ✓
$An$
- C
$An^2$
- D
$\frac{1}{\text{An}}$
View full question & answer→MCQ 191 Mark
The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be $(v_8 =$ escape velocity of a body from the earth's surface $).$
- A
$2 \sqrt{2} v _{ e }$
- B
$2v_e$
- C
$\frac{3}{2} v _{ e }$
- ✓
$\sqrt{3} v _{ e }$
AnswerCorrect option: D. $\sqrt{3} v _{ e }$
$\sqrt{3} v _{ e }$
View full question & answer→MCQ 201 Mark
Two capacitors of capacities 2 µF and 4 µF are connected in parallel. A third capacitor of 6µF capacity is connected in series with this combination. A battery of 12 V is connected across this combination. The charge on 2µF capacitor is ______.
View full question & answer→MCQ 211 Mark
Two bodies $A$ and $B$ of equal mass are suspended from two separate massles springs of force constant $k_1$ and $k_2,$ respectively. The bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitudes of body $A$ to that of body $B$ is $.....$
AnswerCorrect option: C. $\sqrt{\frac{ k _2}{ k _1}}$
$\sqrt{\frac{ k _2}{ k _1}}$
View full question & answer→MCQ 221 Mark
The compressibility of water is $5 \times 10^{-10} m^2/N.$ Pressure of $15 \times 10^6 Pa$ is applied on $100 \ ml$ volume of water. The change in the volume of water is $......$
- A
$1.50 \ ml$ increase
- B
- C
$0.75 \ ml$ increase
- ✓
$0.75 \ ml$ decrease
AnswerCorrect option: D. $0.75 \ ml$ decrease
$0.75 \ ml$ decrease
View full question & answer→MCQ 231 Mark
If the surface tension of a soap solution is $3 \times 10^{-2} N/m$ then the work done in forming a soap film of $20 \ cm \times 5 \ cm$ will be $......$
- A
$6 \times 10^{-2} J$
- ✓
$6 \times 10^{-4} J$
- C
$3 \times 10^{-3} J$
- D
$6 J$
AnswerCorrect option: B. $6 \times 10^{-4} J$
$6 \times 10^{-4} J$
View full question & answer→MCQ 241 Mark
A domain in a ferromagnetic substance is in the form of a cube of side $1 µm$. If it contains $8 \times 10^{10}$ atoms and each atomic dipole has a dipole moment of $9 \times 10^{-24} Am^2$ then the magnetisation of the domain is $........$
- A
$7.2 \times 10^{12} Am^{-1}$
- ✓
$7.2 \times 10^5 Am^{-1}$
- C
$7.2 \times 10^3 Am^{-1}$
- D
$7.2 \times 10^9 Am^{-1}$
AnswerCorrect option: B. $7.2 \times 10^5 Am^{-1}$
$7.2 \times 10^5 Am^{-1}$
View full question & answer→MCQ 251 Mark
A 10 m long wire of resistance 20 Q is connected in series with a battery of emf 3 V and a resistance of 10 Ω. The potential gradient along the wire in V/m is ________.
View full question & answer→MCQ 261 Mark
Metal rings P and Q are lying in the same plane, where current I is increasing steadily. The induced current in metal rings is shown correctly in figure.

View full question & answer→MCQ 271 Mark
N number of balls of mass m kg moving along positive direction of X-axis, strike a wall per second and return elastically. The velocity of each ball is u m/s. The force exerted on the wall by the balls in newton, is ______.
View full question & answer→MCQ 281 Mark
The angle subtended by the vector $A =5 \hat{ i }+3 \hat{ j }+12 \widehat{ k }$ with the $X$-axis is
- A
$\cos ^{-1}\left(\frac{3}{13}\right)$
- B
$\sin ^{-1}\left(\frac{3}{13}\right)$
- C
$\sin ^{-1}\left(\frac{4}{13}\right)$
- ✓
$\cos ^{-1}\left(\frac{4}{13}\right)$
AnswerCorrect option: D. $\cos ^{-1}\left(\frac{4}{13}\right)$
View full question & answer→MCQ 291 Mark
A steel wire of length I has a magnetic moment M. It is then bent into a semicircular arc. The new magnetic moment is ______.
- A
$\frac{ M }{l}$
- B
- C
- ✓
$\frac{2 M }{\pi}$
AnswerCorrect option: D. $\frac{2 M }{\pi}$
View full question & answer→MCQ 301 Mark
At the poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting to produce resonance with same fork. the vibrating length of wire ______.
- ✓
- B
- C
- D
should be 3 times the original length
View full question & answer→MCQ 311 Mark
Let $\sigma $ and $b$ be Stefan's constant and Wien's constant respectively, then dimensions of $\sigma \ b$ are $.......$
- A
$[L^1 M^1 T^3 K^3]$
- ✓
$[L^1 M^1 T^{-3} K^{-3}]$
- C
$[L^{-1} M^1 T^{-3} K^{-3}]$
- D
$[L^1 M^{-1} T^{-3} K^{-3}]$
AnswerCorrect option: B. $[L^1 M^1 T^{-3} K^{-3}]$
$[L^1 M^1 T^{-3} K^{-3}]$
View full question & answer→MCQ 321 Mark
Using Bohr's model, the orbital period of electron in hydrogen atom in nth orbit is $(ε_0 =$ permittivity of free space, $h =$ Planck's constant, $m =$ mass of electron and e $=$ electronic charge $)$
- A
$\frac{2 \varepsilon_0 n^2 h^2}{m e^4}$
- ✓
$\frac{4 \varepsilon_0^2 n^3 h^3}{m e^4}$
- C
$\frac{8 \varepsilon_0^2 n^3 h^3}{m e^4}$
- D
$\frac{2 \varepsilon_0^2 n^3 h^3}{m e^4}$
AnswerCorrect option: B. $\frac{4 \varepsilon_0^2 n^3 h^3}{m e^4}$
$\frac{4 \varepsilon_0^2 n^3 h^3}{m e^4}$
View full question & answer→MCQ 331 Mark
Three points masses, each of mass m are placed at the corners of an equilateral triangle of side l. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices, will be ______.
- A
$\frac{1}{2} ml ^2$
- B
$\frac{1}{4} ml ^2$
- C
$\frac{3}{4} ml ^2$
- ✓
$\frac{3}{2} ml ^2$
AnswerCorrect option: D. $\frac{3}{2} ml ^2$
View full question & answer→MCQ 341 Mark
Two cells having unknown emfs E1 and E2 (E1 > E2) are connected in potentiometer circuit, so as to assist each other. The null point obtained is at 490 cm from the higher potential end. When cell E2 is connected, so as to oppose cell E1, the null point is obtained at 90 cm from the same end. The ratio of the emfs of two cells $\left(\frac{E_1}{E_2}\right)$ is
View full question & answer→MCQ 351 Mark
A metal rod has length, cross$-$sectional area and Young's modulus as $L, A$ and $Y$, respectively. If the elongation in the rod produced is $l$, then work done is proportional to $.......$
View full question & answer→MCQ 361 Mark
A child starts running from rest along a circular track of radius r with constant tangential acceleration a. After time the feels that slipping of shoes on the ground has started. The coefficient of friction between shoes and the ground is [g = acceleration due to gravity].
- A
$\frac{\left[ a ^4 t ^4+ a ^2 r ^2\right]}{ rg }$
- B
$\frac{\left[a^4 t^4-a^2 r^2\right]^{\frac{1}{2}}}{r g}$
- ✓
$\frac{\left[a^4 t^4+a^2 r^2\right]^{\frac{1}{2}}}{g r}$
- D
$\frac{\left[ a ^2 t ^2+ a ^4 r ^4\right]}{ rg }$
AnswerCorrect option: C. $\frac{\left[a^4 t^4+a^2 r^2\right]^{\frac{1}{2}}}{g r}$
View full question & answer→MCQ 371 Mark
A milliammeter of resistance 40 Q has a range 0-30 mA. What will be the resistance used in series to convert it into voltmeter of range 0-15 V?
View full question & answer→MCQ 381 Mark
The energy levels with transitions for the atom are shown. The transitions corresponding to emission of radiation of maximum and minimum wavelength are respectively.

View full question & answer→MCQ 391 Mark
A carrier wave of peak voltage 16 V is used to transmit a signal. If the modulation index is 75%, the peak voltage of the modulating signal is ______.
View full question & answer→MCQ 401 Mark
Van de Graaff generator produces ______.
- A
high voltage and high current
- ✓
high voltage and low current
- C
low voltage and low current
- D
low voltage and high current
AnswerCorrect option: B. high voltage and low current
View full question & answer→MCQ 411 Mark
Water rises upto a height h in a capillary tube on the surface of the earth. The value of h will increase, if the experimental setup is kept in [g = acceleration due to gravity]
- ✓
a lift going down with acceleration a < g
- B
a lift going upward with a certain acceleration
- C
- D
a satellite rotating close to earth
AnswerCorrect option: A. a lift going down with acceleration a < g
View full question & answer→MCQ 421 Mark
Earth has mass $M_1$ and radius $R_1$. Moon has mass $M_2$ and radius $R_2$. Distance between their centre is $r$. A body of mass $M$ is placed on the line joining them at a distance $\frac{r}{3}$ from centre of the earth. To
project the mass $M$ to escape to infinity, the minimum speed required is
- A
$\left[\frac{3 G }{ r }\left( M _1+\frac{ M _2}{2}\right)\right]^{\frac{1}{2}}$
- B
$\left[\frac{6 G }{ r }\left( M _1-\frac{ M _2}{2}\right)\right]^{\frac{1}{2}}$
- ✓
$\left[\frac{6 G }{ r }\left( M _1+\frac{ M _2}{2}\right)\right]^{\frac{1}{2}}$
- D
$\left[\frac{3 G }{ r }\left( M _1-\frac{ M _2}{2}\right)\right]^{\frac{1}{2}}$
AnswerCorrect option: C. $\left[\frac{6 G }{ r }\left( M _1+\frac{ M _2}{2}\right)\right]^{\frac{1}{2}}$
View full question & answer→MCQ 431 Mark
The root mean square velocity of molecules of a gas is 200 m/s. What will be the root mean square velocity of the molecules, if the molecular weight is doubled and the absolute temperature is halved?
View full question & answer→MCQ 441 Mark
If the maximum kinetic energy of emitted electrons in photoelectric effect is $3.2 \times 10^{-19} J$ and the work-function for metal is $6.63 \times 10^{-19} J$, then stopping potential and threshold wavelength respectively are
[Planck's constant, $\left.h =6.63 \times 10^{34} J - s \right]$
[Velocity of light, $c =3 \times 10^8 \frac{ m }{ s }$ ]
[Charge on electron $=1.6 \times 10^{-19} C$ ]
View full question & answer→MCQ 451 Mark
An electron moves in a circular orbit with uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is $[µ_0 =$ permeability of free space, e $=$ electronic charge $]$
- A
$\left(\frac{\mu_0 ev }{ B }\right)^{1 / 2}$
- ✓
$\left(\frac{\mu_0 ev }{4 \pi B }\right)^{1 / 2}$
- C
$\left(\frac{\mu_0 ev }{4 \pi B }\right)$
- D
$\left(\frac{\mu_0 eB }{4 \pi v }\right)$
AnswerCorrect option: B. $\left(\frac{\mu_0 ev }{4 \pi B }\right)^{1 / 2}$
$\left(\frac{\mu_0 ev }{4 \pi B }\right)^{1 / 2}$
View full question & answer→MCQ 461 Mark
The graph of stopping potential $V_s$ against frequency $v$ of incident radiation is plotted for two different metals $P$ and $Q$ as shown in the graph. $\Phi_{ P }$ and $\Phi_{ Q }$ are work-functions of $P$ and $Q$ respectively, then

- ✓
$\Phi _P < \Phi _Q $
- B
$v_0 < v_0$
- C
$\Phi _P = \Phi _Q$
- D
$\Phi _P > \Phi _Q$
AnswerCorrect option: A. $\Phi _P < \Phi _Q $
$\Phi _P < \Phi _Q $
View full question & answer→MCQ 471 Mark
A graph is plotted between the fringe-width Z and the distance D between the slit and eye-
piece, keeping other adjustment same. The correct graph is

View full question & answer→MCQ 481 Mark
In system of two particles of masses $'m_1\ '$ and $'m_2\ ',$ the first particle is moved by a distance $'d\ '$ towards the centre of mass. To keep the centre of mass unchanged, the second particle will have to be moved by a distance $.........$
- A
$\frac{ m _2}{ m _1} d,$ away from the centre of mass
- B
$\frac{m_2}{m_1} d,$ towards the centre of mass
- ✓
$\frac{ m _1}{ m _2} d,$ towards the centre of mass
- D
$\frac{ m _1}{ m _2} d,$ away from the centre of mass
AnswerCorrect option: C. $\frac{ m _1}{ m _2} d,$ towards the centre of mass
$\frac{ m _1}{ m _2} d,$ towards the centre of mass
View full question & answer→MCQ 491 Mark
Two spherical rain drops reach the surface of the earth with terminal velocities having ratio 16 : 9. The ratio of their surface area is ______.
View full question & answer→MCQ 501 Mark
A tuning fork 'A' produces 5 beats per second with a tuning fork of frequency 480 Hz. When a little wax is stuck to a prong of fork A, the number of beats heard per second becomes 2. What is the frequency of tuning fork A before the wax is stuck to it?
View full question & answer→MCQ 511 Mark
The area of the square increases at the rate of $0.5 \ cm^2/sec$. The rate at which its perimeter is increasing when the side of the square is $10 \ cm$ long is $.........$
- A
$0.2 \ cm/sec$
- B
$0.4 \ cm/sec$
- C
$0.3 \ cm/sec$
- ✓
$0.1 \ cm/sec$
AnswerCorrect option: D. $0.1 \ cm/sec$
$0.1 \ cm/sec$
View full question & answer→MCQ 521 Mark
If the population grows at the rate of 8% per year, then the time taken for the population to be doubled, is (Given log 2 = 0.6912).
View full question & answer→MCQ 531 Mark
$\left[1+\frac{1}{\left(\frac{ dy }{ dx }\right)^2}\right]^{\frac{5}{3}}=5 \frac{ d ^2 y}{ dx ^2}$ are respectively.
View full question & answer→MCQ 541 Mark
The equation of the directrix of the parabola $3x^2 = 16y$ is $....$
- ✓
$3y + 4 = 0$
- B
$3x - 4 = 0$
- C
$3x + 4 = 0$
- D
$3y - 4 = 0$
AnswerCorrect option: A. $3y + 4 = 0$
$3y + 4 = 0$
View full question & answer→MCQ 551 Mark
The cofactors of the elements of the first column of the matrix A $=\left[\begin{array}{ccc}2 & 0 & -1 \\ 3 & 1 & 2 \\ -1 & 1 & 2\end{array}\right]$ are
View full question & answer→MCQ 561 Mark
The equation of the line passing through $(1,2,3)$ and perpendicular to the lines $x-1=\frac{y+2}{2}=\frac{z+4}{4}$ and $\frac{x-1}{2}=\frac{y-2}{2}=z+3$ is
- ✓
$\frac{x-1}{6}=\frac{2-y}{7}=\frac{z-3}{2}$
- B
$\frac{x-1}{6}=\frac{y-2}{7}=\frac{z-3}{2}$
- C
$\frac{x-1}{4}=\frac{2-y}{5}=\frac{z-3}{2}$
- D
$x-1=\frac{y-2}{2}=\frac{z-3}{4}$
AnswerCorrect option: A. $\frac{x-1}{6}=\frac{2-y}{7}=\frac{z-3}{2}$
View full question & answer→MCQ 571 Mark
The general solution of the differential equation $\left(1+y^2\right)+\left(x-e^{\tan ^{-1} y}\right) \frac{d y}{d x}=0$ is.
- A
$e ^{\tan ^{-1} y}=\left( e ^{\tan ^{-1} y}\right)^2+ C$
- B
$x \cdot e ^{\tan ^{-1} y}=\frac{\left( e ^{\tan ^{-1}} x\right)^2}{2}+ C$
- C
$e ^{\tan ^{-1} y}=\left( e ^{\tan ^{-1} x}\right)^2+C$
- ✓
$x \cdot e ^{\tan ^{-1} y}=\frac{\left( e ^{\tan ^{-1} y}\right)^2}{2}+ C$
AnswerCorrect option: D. $x \cdot e ^{\tan ^{-1} y}=\frac{\left( e ^{\tan ^{-1} y}\right)^2}{2}+ C$
View full question & answer→MCQ 581 Mark
The equation of a plane containing the point (1, - 1, 2) and perpendicular to the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8 is ______.
- A
$r(4 \hat{ i }-5 \hat{ j }+3 \hat{ k })=15$
- B
$r(5 \hat{i}+4 \hat{j}+2 \hat{k})=5$
- C
$r(5 \hat{i}+4 \hat{j}-\hat{k})=5$
- ✓
$r(5 \hat{i}-4 \hat{j}-\widehat{k})=7$
AnswerCorrect option: D. $r(5 \hat{i}-4 \hat{j}-\widehat{k})=7$
View full question & answer→MCQ 591 Mark
The area of the region bounded by the curve $y=\sin x$ between $x=-\pi$ and $x=\frac{3 \pi}{2}$ is
- A
$3 (unit)^2$
- ✓
$5 (unit)^2$
- C
$1 (unit)^2$
- D
$2 (unit)^2$
AnswerCorrect option: B. $5 (unit)^2$
$5 (unit)^2$
View full question & answer→MCQ 601 Mark
The LPP to maximize Z = x + y, subject to x + y ≤ 1, 2x + 2y ≥ 6, x ≥ 0, y ≥ 0 has ________.
View full question & answer→MCQ 611 Mark
The statement pattern p ∧ ( q v ~ p) is equivalent to ______.
View full question & answer→MCQ 621 Mark
The principal solutions of $\cot x=\sqrt{3}$ are
- A
$\frac{\pi}{4}, \frac{5 \pi}{4}$
- B
$\frac{\pi}{6}, \frac{5 \pi}{6}$
- C
$\frac{\pi}{3}, \frac{7 \pi}{3}$
- ✓
$\frac{\pi}{6}, \frac{7 \pi}{6}$
AnswerCorrect option: D. $\frac{\pi}{6}, \frac{7 \pi}{6}$
View full question & answer→MCQ 631 Mark
$\int_0^1\left(1-\frac{x}{1 !}+\frac{x^2}{2 !}-\frac{x^3}{3 !}+\ldots\right.$ upto $\left.\infty\right) e ^{2 x } dx =$?
- A
$e$
- B
$e^2$
- ✓
$e - 1$
- D
$e + 1$
AnswerCorrect option: C. $e - 1$
$e - 1$
View full question & answer→MCQ 641 Mark
$\int_0^{\frac{\pi}{2}} \frac{\sqrt[7]{\sin x}}{\sqrt[7]{\sin x}+\sqrt[7]{\cos x}} dx =?$
- A
$\frac{\pi}{8}$
- B
$\frac{\pi}{2}$
- ✓
$\frac{\pi}{4}$
- D
$\frac{\pi}{3}$
AnswerCorrect option: C. $\frac{\pi}{4}$
View full question & answer→MCQ 651 Mark
If $x^2 y^2=\sin ^{-1} \sqrt{x^2+y^2}+\cos ^{-1} \sqrt{x^2+y^2}$, then $\frac{ dy }{ dx }=$ ?
- ✓
$\frac{-y}{x}$
- B
$\frac{x}{y}$
- C
$\frac{-x}{y}$
- D
$\frac{y}{x}$
AnswerCorrect option: A. $\frac{-y}{x}$
View full question & answer→MCQ 661 Mark
$\int \frac{ dx }{x^2+4 x+13}=?$
- A
$\frac{1}{6} \tan ^{-1}\left(\frac{x+2}{3}\right)+ C$
- B
$3 \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
- C
$\frac{1}{6} \log \left(\frac{x-1}{x+5}\right)+ C$
- ✓
$\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
AnswerCorrect option: D. $\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
View full question & answer→MCQ 671 Mark
If Xis a.r.v. with c.d.f F (x) and its probability distribution is given by
| X = x | - 1.5 | -0.5 | 0.5 | 1.5 | 2.5 |
| P(X = x) | 0.05 | 0.2 | 0.15 | 0.25 | 0.35 |
then, F(1.5) - F(- 0.5) = ?
View full question & answer→MCQ 681 Mark
The equations of planes parallel to the plane x + 2y + 2z + 8 = 0, which are at a distance of 2 units from the point (1, 1, 2) are ________.
- A
x + 2y + 2z - 5 = 0 or x + 2y + 2z - 3 = 0
- B
x + 2y + 2z + 3 = 0 or x + 2y + 2z - 5 = 0
- C
x + 2y + 2z - 6 = 0 or x + 2y + 2z - 7 = 0
- ✓
x + 2y + 2z - 13 = 0 or x + 2y + 2z - 1 = 0
AnswerCorrect option: D. x + 2y + 2z - 13 = 0 or x + 2y + 2z - 1 = 0
View full question & answer→MCQ 691 Mark
A line makes angles α, β, γ with the co-ordinate axes and α + β = 90°, then γ = ______.
View full question & answer→MCQ 701 Mark
If $2 \cos^2 \theta + 3 \cos \theta = 2,$ then permissible value of $\cos \theta $ is $....$
- A
$0$
- B
$1$
- ✓
$\frac{1}{2}$
- D
$\frac{-1}{2}$
AnswerCorrect option: C. $\frac{1}{2}$
$\frac{1}{2}$
View full question & answer→MCQ 711 Mark
If the equation $3x^2 + 10xy + 3y^2 + 16y + k = 0$ represents a pair of lines, then the value of $k$ is $..........$
AnswerCorrect option: C. $- 12$
$- 12$
View full question & answer→MCQ 721 Mark
If A and Bare supplementary angles, then $\sin ^2 \frac{ A }{2}+\sin ^2 \frac{ B }{2}=$
- A
$\frac{1}{2}$
- B
- ✓
- D
$\frac{1}{3}$
View full question & answer→MCQ 731 Mark
$\frac{1 - \text{sin} \theta + \text{cos} \theta}{1 - \text{sin} \theta - \text{cos} \theta}$ = ?
- ✓
- cot $\frac{\theta}{2}$
- B
- tan $\frac{\theta}{2}$
- C
tan $\frac{\theta}{2}$
- D
cot $\frac{\theta}{2}$
AnswerCorrect option: A. - cot $\frac{\theta}{2}$
View full question & answer→MCQ 741 Mark
The equation of the normal to the curve $2x^2 + y^2 = 12$ at the point $(2, 2)$ is $........$
- A
$2x + y - 6 = 0$
- B
$2x - y + 6 = 0$
- ✓
$x - 2y + 2 = 0$
- D
$x + 2y + 2 = 0$
AnswerCorrect option: C. $x - 2y + 2 = 0$
$x - 2y + 2 = 0$
View full question & answer→MCQ 751 Mark
The area of the $\triangle ABC$ is $10 \sqrt{3} cm ^2$, angle $B$ is $60^{\circ}$ and its perimeter is $20 cm$, then $I ( AC )=$
View full question & answer→MCQ 761 Mark
If $y =\sin ^{-1}\left[\frac{\sqrt{1+x}+\sqrt{1-x}}{2}\right]$, then $\frac{ dy }{ dx }=$ ?
- ✓
$\left(-\frac{1}{2}\right) \frac{1}{\sqrt{1-x^2}}$
- B
$\left(-\frac{1}{2}\right) \frac{1}{\sqrt{x^2-1}}$
- C
$\left(\frac{1}{4}\right) \frac{1}{\sqrt{x^2-1}}$
- D
$\left(\frac{1}{4}\right) \frac{1}{\sqrt{1-x^2}}$
AnswerCorrect option: A. $\left(-\frac{1}{2}\right) \frac{1}{\sqrt{1-x^2}}$
View full question & answer→MCQ 771 Mark
The range of the function f(x) $( x )=\frac{x-3}{5-x}, x \neq 5$ is
View full question & answer→MCQ 781 Mark
The c.d.f, $F ( x )$ associated with p.d.f. $f ( x )=3\left(1-2 x ^2\right)$. If $0< x <1$ is $k \left(x-\frac{2 x^3}{ k }\right)$, then value of $k$ is
- A
$\frac{1}{6}$
- ✓
- C
- D
$\frac{1}{3}$
View full question & answer→MCQ 791 Mark
$\int \log x · (\log x + 2) dx = ?$
- A
$(\log x)^2 + c$
- B
$x \ \log \ x + c$
- C
$e^x (\log x)^2 + c$
- ✓
$x (\log x)^2 + c$
AnswerCorrect option: D. $x (\log x)^2 + c$
$x (\log x)^2 + c$
View full question & answer→MCQ 801 Mark
If R = {(a, b) lb = a - 1, a ∈ Z, 5 < a < 9, then the range of R is ______.
View full question & answer→MCQ 811 Mark
The point P lies on line A, B where A = (2, 4, 5} and B = (1, 2, 3). If z co-ordinate of point P is 3, the its y co-ordinate is ______.
View full question & answer→MCQ 821 Mark
The negation of the statement pattern ~ p v(q → ~ r) is ______.
View full question & answer→MCQ 831 Mark
If $a , b$, care non-coplanar vectors and $p =\frac{ b \times c }{[ abc ]}, q =\frac{ c \times a }{[ abc ]}, r =\frac{ a \times b }{[ abc ]}$, then $a \cdot p + b \cdot q + c \cdot r =$ ?
View full question & answer→MCQ 841 Mark
The rate of disintegration of a radio active element at time t is proportional to its mass, at the time. Then the time during which the original mass of 1.5 gm. Will disintegrate into its mass of 0.5 gm. is proportional to ______.
View full question & answer→MCQ 851 Mark
The odds in favour of getting sum multiple of 3, when pair of dice are thrown is ______.
View full question & answer→MCQ 861 Mark
If the sum of the mean and the variance of a binomial distribution for 5 trials Is 1.8, then p = ______.
View full question & answer→MCQ 871 Mark
The area of the triangle formed by the lines joining vertex of the parabola $x^2 = 12y$ to the extremities of its latus rectum is $.........$
- A
$38$ sq units
- B
$28$ sq units
- C
$12$ sq units
- ✓
$18$ sq units
AnswerCorrect option: D. $18$ sq units
$18$ sq units
View full question & answer→MCQ 881 Mark
If $x=a \sin t-b \cos t, y=a \cos t+b \sin t$, then $y^3 \frac{d^2 y}{d x^2}+x^2+y^2=?$
View full question & answer→MCQ 891 Mark
The quadratic equation whose roots are the numbers having arithmetic mean $34$ and geometric mean $16$ is $.......$
- A
$x^2 - 68x - 256 = 0$
- B
$x^2 + 68x + 256 = 0$
- ✓
$x^2 - 68x + 256 = 0$
- D
$x^2 + 68x - 256 = 0$
AnswerCorrect option: C. $x^2 - 68x + 256 = 0$
$x^2 - 68x + 256 = 0$
View full question & answer→MCQ 901 Mark
If $A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]$ and $A^2-5 A-6 I=0$, then $A^{-1}=$ ?
- A
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ -2 & -4\end{array}\right]$
- B
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ 2 & 4\end{array}\right]$
- ✓
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ 2 & -4\end{array}\right]$
- D
$\frac{1}{6}\left[\begin{array}{cc}1 & 5 \\ 2 & -4\end{array}\right]$
AnswerCorrect option: C. $\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ 2 & -4\end{array}\right]$
View full question & answer→MCQ 911 Mark
a and b are non-collinear vectors. If p = (2x + 1) a - band q = (x - 2)a +b are collinear vectors, then x = ______.
- A
- B
- C
- $\frac{1}{3}$
- ✓
$\frac{1}{3}$
AnswerCorrect option: D. $\frac{1}{3}$
View full question & answer→MCQ 921 Mark
If $f ( x )=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$, for $x \neq \pi$ is continuous at $x =\pi$, then $t (\pi)=$
View full question & answer→MCQ 931 Mark
$\int_0^1 \tan ^{-1}\left(\frac{2 x-1}{1+x-x^2}\right) dx =?$
View full question & answer→MCQ 941 Mark
The equation of a line passing through the point (7, - 4) and perpendicular to the line passing through the points (2, 3) and (1 , - 2 ) is ______.
View full question & answer→MCQ 951 Mark
If the slopes of the lines given by the equation $ax^2 + 2hxy + by^2 = 0$ are in the ratio $5 : 3,$ then the ratio $h^2 : ab = ..........$
- A
$15 : 16$
- B
$3 : 5$
- C
$5 : 3$
- ✓
$16 : 15$
AnswerCorrect option: D. $16 : 15$
$16 : 15$
View full question & answer→MCQ 961 Mark
The maximum volume of a right circular cylinder if the sum of its radius and height is $6 m$ is$......$
- A
$4 \ \pi m^3$
- B
$64 \ \pi m^3$
- ✓
$32 \ \pi m^3$
- D
$16 \ \pi m^3$
AnswerCorrect option: C. $32 \ \pi m^3$
$32 \ \pi m^3$
View full question & answer→MCQ 971 Mark
If $a=3 \hat{i}+\hat{j}-\widehat{k}, b=2 \hat{i}-\hat{j}+7 \widehat{k}$ and $c=7 \hat{i}-\hat{j}+23 \widehat{k}$ are three vectors, then which of the following statement is true.
- A
a, b, c are mutually perpendicular
- B
- ✓
a, b and c are non-coplanar
- D
AnswerCorrect option: C. a, b and c are non-coplanar
View full question & answer→MCQ 981 Mark
$x \frac{d y}{d x}+y \log x=x^2$ is
- ✓
$x^{\log \sqrt{x}}$
- B
$(\log x)^x$
- C
$x^{\log x}$
- D
$(\log x)^2$
AnswerCorrect option: A. $x^{\log \sqrt{x}}$
$x^{\log \sqrt{x}}$
View full question & answer→MCQ 991 Mark
$\int \sin ^{-1} x dx =?$
- A
$x \sin -1 x-\sqrt{1+x^2}+C$
- B
$x \sin -1 x-\sqrt{1-x^2}+C$
- C
$x \sin -1 x+\sqrt{1+x^2}+C$
- ✓
$x \sin -1 x+\sqrt{1-x^2}+C$
AnswerCorrect option: D. $x \sin -1 x+\sqrt{1-x^2}+C$
View full question & answer→MCQ 1001 Mark
With usual notations, if the angles $A, B, C$ of a $\triangle A B C$ are in $A P$ and $b: c=\sqrt{3}: \sqrt{2}$.
View full question & answer→MCQ 1011 Mark
Identify the correct decreasing order of densities of d-block elements.
View full question & answer→MCQ 1021 Mark
Which among the following polymers is used for making handles of cooker?
View full question & answer→MCQ 1031 Mark
When $6.0 g$ of graphite reacts with dihydrogen to give methane gas$, 37.4\ kJ$ of heat is liberated. What is standard enthalpy of formation of $CH_4 (g)$?
- ✓
$- 74.8 \ kJ \ mol^{-1}$
- B
$- 37.4\ kJ\ mol^{-1}$
- C
$- 112.2\ kJ\ mol^{-1}$
- D
$112.2 \ kJ\ mol^{-1}$
AnswerCorrect option: A. $- 74.8 \ kJ \ mol^{-1}$
$- 74.8 \ kJ \ mol^{-1}$
View full question & answer→MCQ 1041 Mark
What is the highest oxidation state possessed by phosphorus in it's oxyacids?
View full question & answer→MCQ 1051 Mark
For the reaction,
$
N _2(g)+3 H _2(g) \longrightarrow 2 NH _3(g) ; \Delta H
$
is equal to ___________.
View full question & answer→MCQ 1061 Mark
What is the formula of hydrolith?
- ✓
$CaH_2$
- B
$BeH_2$
- C
$MgH_2$
- D
$BaH_2$
AnswerCorrect option: A. $CaH_2$
$CaH_2$
View full question & answer→MCQ 1071 Mark
Which among the following is an ambidentate ligand?
AnswerCorrect option: A. $NO _2^{-}$
$NO _2^{-}$
View full question & answer→MCQ 1081 Mark
A first order reaction is 25% completed in 40 minutes. What is the rate constant k tor the reaction?
- A
$\frac{2.303}{40} \times \frac{\log 1}{4}$
- B
$\frac{2.303 \times \log 4}{40 \times 3}$
- ✓
$\frac{2.303 \times \log 1.33}{40}$
- D
$2.303 \times \frac{\log 4}{3}$
AnswerCorrect option: C. $\frac{2.303 \times \log 1.33}{40}$
View full question & answer→MCQ 1091 Mark
Which of the following compounds reacts with ammonia to form urotropine?
View full question & answer→MCQ 1101 Mark
Which carbon atoms of α- D glucopyranose and β-D-fructofuranose respectively are linked together to form glycosidic linkage in sucrose?
- A
C-2 of α - D-glucopyranose and C - 3 of β - D fructofuranose
- B
C-2 of α - D-glucopyranose and C - 2 of β - D fructofuranose
- ✓
C-1 of α - D-glucopyranose and C - 2 of β - D fructofuranose
- D
C-1 of α - D-glucopyranose and C - 6 of β - D fructofuranose
AnswerCorrect option: C. C-1 of α - D-glucopyranose and C - 2 of β - D fructofuranose
View full question & answer→MCQ 1111 Mark
Number of electrons involved in the reaction, when $1$ Faraday of electricity is passed through an electrolytic solution is $..........$
- A
$8 \times 10^{16}$
- B
$96500$
- C
$12 \times 10^{46}$
- ✓
$6.022 \times 10^{23}$
AnswerCorrect option: D. $6.022 \times 10^{23}$
$6.022 \times 10^{23}$
View full question & answer→MCQ 1121 Mark
What is the $SI$ unit tor electrochemical equivalent?
- A
$Js^{-1}$
- B
$JC^{-1}$
- ✓
$kgC^{-1}$
- D
$kgC$
AnswerCorrect option: C. $kgC^{-1}$
$kgC^{-1}$
View full question & answer→MCQ 1131 Mark
If boiling point of urea solution is $100.18^\circ C$ and $K_b$ tor water is $0.512 K \ kg \ mol^{-1},$ molality of solution is $($Boiling point of water $= 100^\circ C)$
- A
$0.6 \ mol \ kg^{-1}$
- B
$0.25 \ mol \ kg^{-1}$
- ✓
$0.35 \ mol \ kg^{-1}$
- D
$0.45 \ mol \ kg^{-1}$
AnswerCorrect option: C. $0.35 \ mol \ kg^{-1}$
$0.35 \ mol \ kg^{-1}$
View full question & answer→MCQ 1141 Mark
Which of the following $0.10 m$ aqueous solutions will have maximum $\triangle T_f$ value?
AnswerCorrect option: B. $Al_2(SO_4)_3$
$Al_2(SO_4)_3$
View full question & answer→MCQ 1151 Mark
Which of the following amines is most basic in nature in aqueous phase?
View full question & answer→MCQ 1161 Mark
What is the range of number of carbon atoms in alkanes found in paraffin wax?
- A
$C_{17}$ to $C_{18}$
- B
$C_{19}$ to $C_{20}$
- C
$C_6$ to $C_8$
- ✓
$C_{21}$ to $C_{30}$
AnswerCorrect option: D. $C_{21}$ to $C_{30}$
$C_{21}$ to $C_{30}$
View full question & answer→MCQ 1171 Mark
Which of the following compound is highly reactive towards HCN?
- A
$CH _3- CHO$
- ✓
$H - CHO$
- C
$C _6 H _5- CHO$
- D
$CH _3- CO - CH _3$
AnswerCorrect option: B. $H - CHO$
View full question & answer→MCQ 1181 Mark
How many Faradays of electricity is required to produce $4.8 g$ of $Mg$ at cathode in the electrolysis of molten $MgCl_2$?
$($Molar mass of $Mg = 24 g/mol)$
- ✓
$0.4 F$
- B
$4 F$
- C
$1 F$
- D
$10 F$
AnswerCorrect option: A. $0.4 F$
$0.4 F$
View full question & answer→MCQ 1191 Mark
How many moles of gaseous oxygen at one atmosphere is considered for the reaction with element for plotting a graph in Ellingham diagram?
View full question & answer→MCQ 1201 Mark
What is the name of reaction involving replacement of diazonium group by chloride using cuprous (I) salt?
View full question & answer→MCQ 1211 Mark
Which among the following crystal lattices occupies all of the cubic holes by cations?
- A
$CaF_2$
- B
$SrCl_2$
- C
$UO_2$
- ✓
$CsCI$
AnswerCorrect option: D. $CsCI$
$CsCI$
View full question & answer→MCQ 1221 Mark
Which of the following is a Stephen reaction?
- A
$R - COCl \xrightarrow[ Pd - BaSO _4]{ H _2} R - CHO + HCl$
- B
- C
$R - CH = O \xrightarrow[- H _2 O ]{ H _2 N - NH _2} R - CH = N - NH _2 \xrightarrow[\Delta]{ KOH / \text { ethylene glycol }} R - CH _3+ N _2$
- ✓
View full question & answer→MCQ 1231 Mark
Identify 'B' in the following reaction.
$
C _2 H _6 \underset{ AlBr _3}{ Br _2} A \xrightarrow[\Delta]{ CH _3 COOAg } B
$
- A
$CH _3 COOCH _3$
- B
$C _2 H _5 COOCH _3$
- C
$C _2 H _5 COOC _2 H _5$
- ✓
$CH _3 COOC _2 H _5$
AnswerCorrect option: D. $CH _3 COOC _2 H _5$
View full question & answer→MCQ 1241 Mark
The vapour pressure of solvent decreases by 1 O mm Hg, if mole fraction of non-volatile solute is 0.2. Calculate vapour pressure of solvent.
View full question & answer→MCQ 1251 Mark
What is the oxidation number of $Mn$ in $MnO _4^{2-}$ ion?
View full question & answer→MCQ 1261 Mark
Which of the following pairs of monomers is used for the preparation of dextron?
- A
- ✓
Lactic acid and glycolic acid
- C
Glycine and ω -amino caproic acid
- D
3-hydroxy butanoic acid and 3-hydroxy pentanoic acid
AnswerCorrect option: B. Lactic acid and glycolic acid
View full question & answer→MCQ 1271 Mark
Which among the following sets of elements is present in chalcopyrite?
View full question & answer→MCQ 1281 Mark
Identify the enzyme X in the following reaction.
$H _2 O _2( aq ) \xrightarrow{ x } H _2 O ( l )+\frac{1}{2} O _2( g )$
View full question & answer→MCQ 1291 Mark
For first order reaction the concentration of reactant decreases from $0.2$ to $0.1 M$ in $100$ minutes. What is the rate constant of the reaction?
AnswerCorrect option: C. $6.93 \times 10^{-3} \ min^{-1}$
$6.93 \times 10^{-3} \ min^{-1}$
View full question & answer→MCQ 1301 Mark
Which of the following is correct decreasing order of the repulsive Interaction of electron pairs in a molecule?
- A
lone pair - bond pair > lone pair - lone pair > bond pair - bond pair
- B
bond pair - bond pair > lone pair - bond pair > lone pair - long pair
- C
bond pair - bond pair = bond pair - long pair > lone pair - lone pair
- ✓
lone pair - lone pair > lone pair - bond pair > bond pair - bond pair
AnswerCorrect option: D. lone pair - lone pair > lone pair - bond pair > bond pair - bond pair
View full question & answer→MCQ 1311 Mark
What is standard $N \equiv N$ bond enthalpy from following reaction,
$\ce{N_{2(g)} + 3 H_{2(g)} \longrightarrow 2 N_{3(g)} ; \Delta H^0=-83 k J}$
$\ce{\Delta H_{(H-H)}^0 =435 k J}$
$\ce{\Delta H_{(N-H)}^0=389 k J}$
- A
$435\ kJ$
- B
$1305\ kJ$
- ✓
$946\ kJ$
- D
$2334\ kJ$
AnswerCorrect option: C. $946\ kJ$
$946\ kJ$
View full question & answer→MCQ 1321 Mark
Which of the following compounds is obtained, when phenol react with bromine water?
View full question & answer→MCQ 1331 Mark
Which of the following is not an example of antiseptic drug?
View full question & answer→MCQ 1341 Mark
How many hydrogen atoms are surrounding each oxygen atom in structure of ice?
View full question & answer→MCQ 1351 Mark
What is the percentage of unoccupied space in fcc unit cell?
View full question & answer→MCQ 1361 Mark
Which reagent among the following is used to confirm presence of aldehydic carbonyl group in glucose?
View full question & answer→MCQ 1371 Mark
Identify tranquiliser from the following?
View full question & answer→MCQ 1381 Mark
The total number of electrons around the carbon atom of methyl tree radical are ______.
View full question & answer→MCQ 1391 Mark
Identify the enzyme $X$ in the following reaction.
$
H _2 O _2(a q) \xrightarrow{x} H _2 O (l)+\frac{1}{2} O _2(g)
$
View full question & answer→MCQ 1401 Mark
Identify the number of donor groups present in EDTA.
View full question & answer→MCQ 1411 Mark
Identify $A$ in the following reaction.
$
A + CH _3 MgBr \xrightarrow{\text { Ether }} \text { complex } \xrightarrow{ H _3 O ^{+}}\left( CH _3\right)_3 C - OH
$
View full question & answer→MCQ 1421 Mark
Which of the following reagents is used for the following conversion?
$CH _3- CH = CH - CHO \longrightarrow CH _3- CH = CH - CH _2 OH$
- A
$H_2/Ni$
- ✓
$LiAIH_4$
- C
$H_3O^+$
- D
$Zn-Hg/HCI$
AnswerCorrect option: B. $LiAIH_4$
$LiAIH_4$
View full question & answer→MCQ 1431 Mark
An element crystallizes in fcc type of unit cell. The volume of one unit cell is $24.99 \times 10^{-24} \ cm^3$ and density of the element $7.2 g \ cm^{-3},$ Calculate the number of unit cells in $36 g$ of pure sample of element?
- A
$1.25 \times 10^{21}$
- B
$2.0 \times 10^{21}$
- C
$2.0 \times 10^{24}$
- ✓
$2.0 \times 10^{23}$
AnswerCorrect option: D. $2.0 \times 10^{23}$
$2.0 \times 10^{23}$
View full question & answer→MCQ 1441 Mark
Which of the following molecular formula represents Marshall's acid?
- ✓
$H_2S_2O_8$
- B
$H_2SO_5$
- C
$H_2S_2O_6$
- D
$H_2S_2O_7$
AnswerCorrect option: A. $H_2S_2O_8$
$H_2S_2O_8$
View full question & answer→MCQ 1451 Mark
Which of the following molecules has a central atom with complete octet?
View full question & answer→MCQ 1461 Mark
Which of the following compounds does not react with bromine in alkaline medium?
View full question & answer→MCQ 1471 Mark
What is the unit of viscosity?
- A
$Nm^{-1}$
- ✓
$Nsm^{-2}$
- C
$kgs^{-1}$
- D
$kgs^2$
AnswerCorrect option: B. $Nsm^{-2}$
$Nsm^{-2}$
View full question & answer→MCQ 1481 Mark
Which of the following oxyacids of sulphur contain four $S = 0$ bonds?
- A
$H_2SO_4$
- B
$H_2SO_5$
- ✓
$H_2S_2O_6$
- D
$H_2S_2O_4$
AnswerCorrect option: C. $H_2S_2O_6$
$H_2S_2O_6$
View full question & answer→MCQ 1491 Mark
Which of the following is least reactive towards $S_N1$ reactions?
AnswerCorrect option: C. $CH _3- Br$
$CH _3- Br$
View full question & answer→MCQ 1501 Mark
Which mineral among the following contains vanadium in it?
View full question & answer→