1.
The primary and secondary coils of a transformer have 100 and 2000 turns respectively. If the magnetic flux linked with the primary coil is given by $\phi=\phi_{0}+5t$, where $\phi$ is in webers, t is time in seconds and $\phi_{0}$ is a constant, the output voltage across the secondary coil is :
2.
Two guns A and B can fire bullets at speed $2~km/s$ and $4~km/s$ respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is:
3.
The moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through it's centre is 'I'. The same rod is bent into a ring and its moment of inertia about the diameter is I', then the ratio $\frac{I}{I^{\prime}}$ is
4.
Assertion: The Bohr model correctly predicts the spectral frequencies of the hydrogen atom.
Reason: The Bohr model also explains the relative intensities of different spectral lines.
Reason: The Bohr model also explains the relative intensities of different spectral lines.
5.
In a region the intensity of an electric field is given by $\vec{E}=4\hat{i}+2\hat{j}+\hat{k}$ in $NC^{-1}$. The electric flux through a surface $S=5\hat{i}m^{2}$ in the region is:
6.
A body of mass 2kg starts from the origin with an initial velocity $\vec{u}=20\hat{i}+30\hat{j}ms^{-1}$. If a constant force $\vec{F}=-(2\hat{i}+6\hat{j})N$ acts on the body the x-coordinate where the y-component of the velocity becomes zero is:
7.
The electric and the magnetic field, associated with an e.m. wave, propagating along the +z-axis, can be represented by:-
8.
The bulbs $B_{1}$, $B_{2}$ and $B_{3}$ are connected to the mains as shown in figure. If $B_{3}$ is disconnected from the circuit by opening switch S, then incandescence of bulb $B_{1}$ will: -
9.
A block of mass 2 kg rests on a rough inclined plane making an angle of $30^{\circ}$ with the horizontal. the coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is:
10.
Which one of the following is true:
(A) $\vec{A}\cdot\vec{B}=\vec{B}\cdot\vec{A}$
(B) $\vec{A}+\vec{B}=\vec{B}+\vec{A}$
(C) $\vec{A}-\vec{B}=\vec{B}-\vec{A}$
(D) $\vec{A}\times\vec{B}=\vec{B}\times\vec{A}$
(A) $\vec{A}\cdot\vec{B}=\vec{B}\cdot\vec{A}$
(B) $\vec{A}+\vec{B}=\vec{B}+\vec{A}$
(C) $\vec{A}-\vec{B}=\vec{B}-\vec{A}$
(D) $\vec{A}\times\vec{B}=\vec{B}\times\vec{A}$
11.
A 100V, Ac source of frequency 500Hz is connected to an LCR circuit with $L=6.4mH$, $C=16\mu F$ and $R=10\Omega$ all connected in series as shown in figure. What is quality factor of circuit?
12.
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 4v, then its centripetal acceleration is:
13.
In case of an orbiting satellite, if the radius of orbit is decreased:
14.
Equations $y_{1}=2A~cos^{2}\omega t$ and $y_{2}=A(sin~\omega t+\sqrt{3}cos~\omega t)$ represent the motion of two particles
15.
In a young's double slit experiment, the slits are illuminated by monochromatic light. The entire set up is immersed in pure water. In order to restore the original fringe width, what can be done?
16.
Assertion: For the scattering of $\alpha$-particles at large angles, only the nucleus of the atom is responsible.
Reason: Nucleus is very heavy in comparison to electrons.
Reason: Nucleus is very heavy in comparison to electrons.
17.
The graph between $v^{2}$ and x is plotted for a particle moving in straight line its slope will give
18.
A rod of 20 cm in length and temperature difference of $40^{\circ}C$ at its two ends. Another rod B of length 60 cm and of temperature difference $90^{\circ}C$, Having the same area of cross-section. If the rate of flow of heat is the same, then the ratio of their thermal conductivities will be
19.
The figure shows four wire loops, with edge lengths of either L or 2L. All four loops will move through a region of uniform magnetic field B (directed out of the page) at the same constant velocity. Rank the four loops according to the maximum magnitude of the e.m.f. induced as they move through the field, greatest first
20.
A uniform magnetic field $\vec{B}=B_{0}\hat{j}$ exists in space. A particle of mass m and charge q is projected from the point (d, 0, 0) towards the +y-axis, making an angle $45^{\circ}$ with the x-axis, with speed v. The maximum value of v for which the particle does not hit the y-z plane is:
21.
Zener diode is used for
22.
Match the column I and Column II
Column - I
(A) Negative susceptibility
(B) Positive and small susceptibility
(C) Positive and large Susceptibility
(D) Leadstone
Column - II
1. Ferromagnetic
2. Diamagnetic
3. Paramagnetic
4. Magnetic material
Column - I
(A) Negative susceptibility
(B) Positive and small susceptibility
(C) Positive and large Susceptibility
(D) Leadstone
Column - II
1. Ferromagnetic
2. Diamagnetic
3. Paramagnetic
4. Magnetic material
23.
A liquid does not wet the solid surface if angle of contact is:
24.
The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.
25.
The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant $K_{1}$ and $K_{2}$ with thickness $\frac{3}{8}d$ and $\frac{d}{2}$ respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If $K_{1}=1.25K_{2}$ the value of $K_{1}$ is:
26.
Network shown in figure is a part of the circuit (the battery has negligible resistance) At a certain instant the current according to the figure and is decreasing at a rate of $10^{3}~A~s^{-1}$. The potential difference between point B and A is 10 V. The current will be
27.
The Young's modulus of a wire is numerically equal to the stress which will:
28.
If two concentric spheres of radius $R_{1}$ and $R_{2}$ having surface charge density $+\sigma$ and $-2\sigma$. If net charge is zero. Then ratio of $\frac{R_{2}}{R_{1}}$ will be:
29.
A body posses kinetic energy $\sqrt{x}$, moving on a rough horizontal surface, is stopped in a distance $y/2$ The friction force exerted on the body is :
30.
A body falls from height h. The v-s graph is :
31.
In a shotput event an athlete throws the shotput of mass 10 kg with an initial speed of $1~ms^{-1}$ at $45^{\circ}$ from a height 1.5 m above ground. Assuming air resistance to be negligible and acceleration due to gravity to be $10~ms^{-2}$, the kinetic energy of the shotput when it just reaches the ground will be
32.
The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon
33.
Which of the following is/are correct relations
I. $n_{21}=\frac{1}{n_{12}}$
II. $n_{32}=n_{31}\times n_{12}$
III. $n_{21}=\frac{n_{1a}}{n_{2a}}$
IV. $n_{21}=\frac{n_{2a}}{n_{1a}}$
I. $n_{21}=\frac{1}{n_{12}}$
II. $n_{32}=n_{31}\times n_{12}$
III. $n_{21}=\frac{n_{1a}}{n_{2a}}$
IV. $n_{21}=\frac{n_{2a}}{n_{1a}}$
34.
Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at $x=0.1$ cm when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is $M=5$ cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction, is
35.
Match the column I and Column II
Column - I
A. Field emission
B. Photoelectric emission
C. Thermionic emission
D. Secondary emission
Column - II
1. Heat is supplied to the metal surface
2. Electric field is applied to the metal surface
3. Light of suitable frequency illuminates the metal surface
4. Striking fast moving electrons on the metal surface
Column - I
A. Field emission
B. Photoelectric emission
C. Thermionic emission
D. Secondary emission
Column - II
1. Heat is supplied to the metal surface
2. Electric field is applied to the metal surface
3. Light of suitable frequency illuminates the metal surface
4. Striking fast moving electrons on the metal surface
36.
The graph between cut off voltage and frequency of light in a photoelectric experiment will be:
37.
How many dry cells each of e.m.f. 1.5 V and internal resistance $0.5\Omega$ must be joined series with a resistor of resistance of $20\Omega$ to give a current of 0.6 ampere in the circuit:
38.
A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density $\rho$ and takes a spherical shape of radius R. When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T. If the speed v(r) of gas coming out of the balloon depends on r as $r^{a}$ and $T\propto S^{\alpha}A^{\beta}\rho^{\gamma}R^{\delta}$ then
39.
In an arrangement shown in the figure, if the block of mass m is displaced and then released the frequency of oscillation is given by:
40.
Four charges +q, +q, -q and -q are placed at A, B, C, D the corners of a square of side a, and E is the mid-point of side BC. The work done in carrying a charge e from E to F is:
41.
A full wave rectifier circuit with diodes $(D_{1})$ and $(D_{2})$ is shown in the figure. If input supply voltage $V_{in}=220 \sin (100\pi t)$ volt, then at $t=15$ milisec.
42.
Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius $r_{A}$ and $r_{B}$, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm. respectively. If the change in their internal energy is the same, then the ratio $\frac{r_{A}}{r_{B}}$ is equal to.
43.
The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at $22.5^{\circ}$ from the polarization axis of one of the polaroid, is $(I_{0}$ is the intensity of polarised light after passing through the first polaroid):
44.
A pipe open at both ends is dipped in a water drum such that $1/3$ of its length is inside water. Initially, the length of the air column is L and its frequency is f. The pipe is now pulled upward so that half of the previously submerged portion comes above water. What will be the new frequency of the air column?
45.
The temperature of a gas is $-50^{\circ} C$. To what temperature the gas should be heated so that the rms speed is increased by 3 times?