1.
A body A starts from rest with an accleration $a_{1}$. After 2 seconds, another body B starts from rest with an acceleration $a_{2}$. If they travel equal distance in the 5th second, after the start of A, then the ratio $a_{1} : a_{2}$ is equal to:
2.
A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that moment of inertia of the system doubles. The kinetic energy of the system now is:
3.
A flat horizontal board moves up and down in SHM of amplitude a. Then the shortest permission time period of the vibration such that an object placed on the board may not loose contact with the board is:
4.
In the figure (i) & (ii) two vibrating air-columns of same length are shown. The ratio of frequencies in the two cases will be:
5.
Equipotential surfaces are shown in figure. Then the electric field strength will be:
6.
Magnetic field at point 'P' due to both infinite long current carrying wires is :
7.
The equivalent capacitance of three capacitors of capacitance $C_{1}$, $C_{2}$ & $C_{3}$ connected in parallel is 12 units & product $C_{1}C_{2}C_{3}=48$. When the capacitors $C_{1}$ & $C_{2}$ are connected in parallel the equivalent capacitance is 6 unit. Then capacitances are:
8.
In the circuit shown in figure the current measured by ammeter is :
9.
Electromagnetic energy is radiated by:
10.
An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result or photon emission will be :
11.
If $\vec{C}=\vec{A}+\vec{B}$ and $\vec{A}\perp\vec{C}$ and $|\vec{C}|=\frac{|\vec{B}|}{2}$, then find angle between $\vec{A}$ and $\vec{B}$ :
12.
A ball projected vertically upwards direction with initial velocity $55~m/s$. The distance travelled in $6^{\text{th}}$ second of motion will be $(g=10~m/s^{2})$:
13.
A projectile is fired at an angle of $45^{\circ}$ with the horizontal. Elevation angle of projectile at its highest point as seen from the point of projection is:
14.
A particle performs uniform circular motion with angular momentum L. If the frequency of motion is doubled and its kinetic energy is halved, the angular momentum becomes :
15.
A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of $g_{0}$ the value of acceleration due to gravity at the earth's surface is:
16.
A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be:
17.
A double convex lens $(R_{1}=R_{2}=10\text{ cm})$ $(\mu=1.5)$ having focal length equal to the focal length of a convex mirror. The radius of curvature of the convex mirror is:
18.
In a double slit experiment when a thin film of thickness t having refractive index $\mu$ is introduced in front of one of this slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is ($\lambda$ is the wavelength of the light used)
19.
Two satellites of mass $m_{1}$ and $m_{2} (m_{1}>m_{2})$ are going around the earth in orbit of radius $r_{1}$ and $r_{2}$ $(r_{1}>r_{2})$. Which one statement about their velocities is correct:
20.
An atom of mass m is moving with speed V. It emits a photon of wavelength $\lambda$. What is the maximum possible speed of the atom after emission?
21.
Liquid flows through a horizontal tube of variable diameter. The pressure is lower where:
22.
The temperature of a wire of length 1 metre and area of cross-section $1~cm^{2}$ is increased from $0^{\circ}C$ to $100^{\circ}C$. If the rod is not allowed to increase in length, the compressive force required will be : $[\alpha=10^{-5}/^{\circ}C \text{ and } Y=10^{11}N/m^{2}]$
23.
For a prism, graph between angle of deviation ($\delta$) and angle of incidence (i) will be
24.
Two photons each of 2.5 eV energy are incident on a metal surface of work function 4.5 eV then:
25.
A p-n photodiode is fabricated from a semiconductor with a band gap of 2.5 eV. It can detect a signal of wavelength:
26.
The speed v reached by a car of mass m that is driven with constant power P in distance x is given by:
27.
Determine the elongation of the steel bar 1m long and $1.5~cm^{2}$ cross-sectional area when subjected to a pull of $1.5\times10^{4}N$ (Take $Y=2.0\times10^{11}N/m^{2}$):
28.
Relationship between P, V and E for a gas is: (E = total translational kinetic energy):
29.
A straight wire of diameter 0.5 mm carrying a current of 1A is replaced by another wire of diameter 1 mm carrying the same current. The strength of magnetic field far away is :
30.
Two coherent sources each emitting light of intensity $I_{0}$ interfere in a medium at a point where phase difference between them is $\frac{2\pi}{3}$. The resultant intensity at that point would be:
31.
The correct Boolean operation represented by the circuit diagram drawn is:
32.
A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be: $(g=10~m/s^{2})$
33.
A conducting square sheet of side 50 m is uniformly charged with surface charge density $2\mu C/m^{2}$. What is the electric field at a point 2 mm away from the sheet along the perpendicular direction?
34.
A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2 revolutions is:
35.
Six similar bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be :
36.
An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly): $(m_{e}=9\times10^{-31}kg)$
37.
When an object is shot from the bottom of a long smooth inclined plane kept at an angle $60^{\circ}$ with horizontal, it can travel a distance $x_{1}$ along the plane. But when the inclination is decreased to $30^{\circ}$ and the same object is shot with the same velocity, it can travel $x_{2}$ distance. Then $x_{1}:x_{2}$ will be:
38.
In a p-n junction diode, change in temperature due to heating:
39.
A metallic rod of mass per unit length $0.5~kg~m^{-1}$ is lying horizontally on a smooth inclined plane which makes an angle of $30^{\circ}$ with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is:
40.
The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is:
41.
Current sensitivity of a moving coil galvanometer is $5~div/mA$ and its voltage sensitivity (angular deflection per unit voltage applied) is $20~div/V$. The resistance of the galvanometer is:
42.
A set of 'n' equal resistors, of value 'R' each, are connected in series to a battery of emf 'E' and internal resistance 'R'. The current drawn is I. Now, the 'n' resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10I. The value of 'n' is:
43.
A long solenoid of diameter 0.1 m has $2\times10^{4}$ turn per meter. At the centre of the solenoid, a coil in 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0A from 4A in 0.05 s. If the resistance of the coil is $10\pi^{2}\Omega$ the total charge flowing through the coil during that time is :
44.
Planck's constant (h), speed of light in vacuum (c) and Newton's graviational constant (G) are three fundamental constants. Which of the following combination of these has the dimension of length?
45.
A resistance wire connected in the left gap of a metre bridge balances a $10~\Omega$ resistance in the right gap at a point which divides the bridge wire in the ratio 3: 2. If the length of the resistance wire is 1.5 m, then the length of $1~\Omega$ of the resistance wire is :