1.
For 5 moles of an ideal gas, heat Q is required to raise the temperature from $20^{\circ}C$ to $30^{\circ}C$ at constant volume. How much heat is required to raise the temperature by the same amount at constant pressure?
2.
The width of the depletion layer of a PN junction does not depend on:
3.
For a convex lens, the graph between object distance u and image distance v is:
4.
According to Ampere's Circuital Law, the line integral of magnetic field around a closed loop is equal to:
5.
A particle A (mass m) moving with velocity u along x-axis collides with another identical particle B at rest. After collision, A moves at $30^{\circ}$ and B at $60^{\circ}$ with the x-axis. The collision is perfectly elastic. What is the speed of particle A after collision?
6.
In the given logic circuit, inputs A and B are first passed through an OR gate, and then the output is passed through a NOT gate. What is the final output Y?
7.
The relative error in the determination of the volume of a sphere is 30%, then the relative error in the determination of its surface area is :
8.
A point P on the trajectory of a projectile projected at an angle $\theta$ with horizontal subtends angle $\alpha$ and $\beta$ at the point of projection and point of landing then:
9.
The approximate depth of an ocean is 2700m. The compressibility of water is $45.4\times10^{-11}Pa^{-1}$ and density of water is $10^{3}kg/m^{3}.$ What fractional compression of water will be obtained at the bottom of the ocean :
10.
In the given figure stress and strain curve is shown of material A and B, then the correct option is ($Y_{A}$ and $Y_{B}$ are the Young's modulus of materials):
11.
A particle is moving on a circle with incerasing speed then particle have
12.
A body is dropped from rest from height 10 m on a horizontal floor. If coefficient of restitution between body and floor is $\frac{1}{\sqrt{2}}$ then maximum height attained after first collision is :
13.
Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is:
14.
A man goes to a height equal to the radius of earth from its surface. The weight of the person at that height relative to his weight on the surface of earth is:
15.
If earth suddenly stops rotating about its own axis, the increase in it's temperature will be :
16.
For the system shown in the figure the inclined plane is fixed, all the pulleys are light and friction is absent everywhere. The tension in the string will be:
17.
A conveyor belt is moving at constant speed of $4~m/s.$ A box is gently dropped on it. The coefficient of friction between them is $\mu=0.4.$ The time taken to stop relative to belt, taking $g=10~m/s^{2}$ is:
18.
The distance between two rails is 1.2 m. The center of gravity of the train is at a height of 2 m from the ground. The maximum safe speed of the train on the circular path of radius 150 m is $(g=9.8~m/s^{2})$:
19.
Two particles A and B execute simple harmonic motion of period T and $\frac{5T}{4}$ They start from mean position. The phase difference between them when the particle A completes one oscillation will be :
20.
A stretched wire of length 110 cm is divided into three segments whose frequencies are in ratio 1:2:3. Their lengths must be:
21.
Find the electric field at point O, due to the segment of a ring, while linear charge density is $8~coul/cm$:
22.
A vehicle travels half the distance with speed v and the remaining distance with speed 2v. Its average speed is :
23.
One plate of a capacitor is connected to a spring as shown in the figure. Area of both the plates is A. In steady state separtion between the plates is 0.8d (spring was unstreched and the distance between the plates was d when the capacitor was uncharged). The force constant of the spring is approximately :
24.
Find equivalent resistance between A and B :
25.
The current through the $12\Omega$ in the circuit diagram shown below is:
26.
Figure shows a square current carrying loop ABCD of side '2m' and current $i=\frac{1}{2}amp$ . The magnetic moment $\vec{M}$ of the loop is:
27.
When a material inside the inductor is removed the current in the circuit increases in small amount, then the nature of the material is:
28.
A particle of charge -q and mass m enters a uniform magnetic field $\vec{B}$ at A with speed $v_{1}$ at an angle $\alpha$ and leaves the field at C with speed $v_{2}$ at an angle $\beta$ as shown. Then :
29.
A small fish 0.4 m below the surface of a lake, is viewed through a simple converging lens of focal length 3 m. The lens is kept at 0.2 m above the water surface such that fish lies on the optical axis of the lens. The image of the fish seen by observer will be at $(\mu_{waler}=\frac{4}{3})$:
30.
In Young's double slit experiment, the 8th maximum with wavelength $\lambda_{1}$ is at a distance $d_{1}$ from the central maximum and the $6^{th}$ maximum with a wavelength $\lambda_{2}$ is at a distance $d_{2}$ Then $(d_{1}/d_{2})$ is equal to:
31.
Which of the following is true.
32.
The figure shows different graphs between stopping potential $(V_{0})$ and frequency (v) for photosensitive surface of cesium, potassium, sodium and lithium. The plots are parallel. Correct ranking of the targets according to their work function greatest first will be :
33.
Light of wavelength $2475 \mathring{A}$ is incident on barium. Photoelectrons emitted describe a circle of radius maximum 100 cm by a magnetic field of flux density $\frac{1}{\sqrt{17}}\times10^{-5}$ Tesla. Work function of the barium is (Given $\frac{e}{m}=1.7\times10^{11})$
34.
The energy level diagram for an hydrogen like atom is shown in the figure. The radius of its first Bohr orbit is:
35.
A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2: 1. What will be the ratio of their nuclear size (nuclear radius)?
36.
In the following circuit $I_{1}$ and $I_{2}$ are respectively:
37.
Two similar springs P and Q have constant $K_{p}$ and $K_{Q}$, such that $K_{p}>K_{Q}.$ They are stretched first by the same amount (case a), then by the same force (case b). The work done by springs $W_{p}$ and $W_{Q}$ are related as, in case (a) and case (b) respectively:
38.
An object falls from a height of 10 m above the ground. After striking the ground it loses 50% of its kinetic energy. The height upto which the object can rebounce from the ground is :
39.
Given below are two statements:
Statement I : Image formation needs regular reflection and/or refraction.
Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.
In the light of the above statements, choose the most appropriate answer from the options given below:
Statement I : Image formation needs regular reflection and/or refraction.
Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.
In the light of the above statements, choose the most appropriate answer from the options given below:
40.
In the circuit shown below, the inductance L is connected to an ac source. The current flowing in the circuit is $I=I_{0}sin\omega t$. The voltage drop $(V_{L})$ across L is:
41.
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Houses made of concrete roofs overlaid with foam keep the room hotter during summer.
Reason R: The layer of foam insulation prohibits heat transfer, as it contains air pockets.
In the light of the above statements, choose the correct answer from the options given below:
Assertion A: Houses made of concrete roofs overlaid with foam keep the room hotter during summer.
Reason R: The layer of foam insulation prohibits heat transfer, as it contains air pockets.
In the light of the above statements, choose the correct answer from the options given below:
42.
If the ratio of relative permeability and relative permittivity of a uniform medium is 1: 4. The ratio of the magnitudes of electric field intensity (E) to the magnetic field intensity (H) of an EM wave propagating in that medium is Given that $(\sqrt{\frac{\mu_{0}}{\epsilon_{0}}}=120\pi);$
43.
The given circuit shows a uniform straight wire A of 40 cm length fixed at both ends. In order to get zero reading in the galvanometer G, the free end of J is to be placed from B at:
44.
In an electrical circuit, the voltage is measured as $V=(200\pm4)$ volt and the current is measured as $I=(20\pm0.2)A.$ The value of the resistance is:
45.
In a certain region of space electric field is along z-direction. The magnitude of electric field increases uniformly along positive z-direction at the rate of $10^{5}$ N/C per meter. Find force experienced by a system having a total dipole moment equal to $10^{-7}$ C-m in the negative z-direction: