1.
Two solid balls A and B whose masses are 200g and 400g respectively, are moving in mutually opposite directions. If the velocity of A is $0.3~m/s$ and both the balls come to rest after collision, then the velocity of the ball B is-
2.
A car is negotiating a curved road of radius R. The road is banked at an angle $\theta$. The coefficient of friction between the tyres of the car and the road is $\mu_{s}$. The maximum safe velocity is:
3.
A body of mass 2 kg moving on a rough horizontal surface with an initial velocity of $4~m/s$ comes to rest after 2s. If one wants to keep moving on the same surface with a velocity of $4~m/s$ the force required is:
4.
In a pond of water, a flame is held 2m above the surface of the water. A fish is at depth of 4m from the water surface. Refractive index of water is 1.33. The apparent height of the flame from the eyes of the fish is:
5.
A 100V, Ac source of frequency 500Hz is connected to an LCR circuit with $L=8.1~mH$, $C=12.5\mu~F$, $R=10\Omega$ all connected in series as shown in figure. What is quality factor of circuit?
6.
A clock that keeps correct time at $20^{\circ}C$ is subjected to $40^{\circ}C$. If coefficient of linear expansion of the pendulum is $12\times10^{-6}/^{\circ}C.$ How much time will it gain or lose?
7.
The displacement of the particle varies with time according to the relation $x=\frac{k}{b}[1-e^{-bt}].$ Then the velocity of the particle is:
8.
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum with respect to the vertical.
9.
If the radius of earth reduces by 4% and density remains same the escape velocity will-
10.
Two coils of self inductance 2mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:
11.
If $\vec{A}+\vec{B}=\vec{C}$ and $\vec{A}-\vec{B}=\vec{D}$ then.
12.
A cup is full of water at $4^{\circ}C$ water will overflow from the cup if.
13.
The di-electric constant of a medium can be:
14.
A student takes 50 gm wax (specific heat $=0.6~kcal/kg^{\circ}C)$ and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively.
15.
The displacement equation of a particle performing SHM is given by $x=4~\sin(\frac{\pi}{2}t)$. The ratio of displacement and distance traveled in first $\frac{5}{3}$ second
16.
A particle of mass m and charge -q enters a region of magnetic field with a velocity v, as shown in figure. Then the time for which particle remains inside the magnetic field.
17.
Read the following statements:
(i) Both concave and convex mirror can form virtual image for Real object
(ii) A virtual image cannot be caught on a screen but it can be photographed.
(iii) The diver under water looks obliquely at a fisherman standing on the bank of a lake the fisherman look taller to the diver than what he actually is
(iv) The refractive index of diamond is much greater than that of original glass.
Select the correct statements:
(i) Both concave and convex mirror can form virtual image for Real object
(ii) A virtual image cannot be caught on a screen but it can be photographed.
(iii) The diver under water looks obliquely at a fisherman standing on the bank of a lake the fisherman look taller to the diver than what he actually is
(iv) The refractive index of diamond is much greater than that of original glass.
Select the correct statements:
18.
The De-Broglie wavelength associated with neutrons in thermal equilibrium with matter at 300 K is :-
19.
Match Column-I with Column-II.
Column-I
(A) $\epsilon_{0}$
(B) $\mu_{0}$
(C) E
(D) B
Column-II
(i) $MT^{-2}A^{-1}$
(ii) $MLT^{-3}A^{-1}$
(iii) $M^{-1}L^{-3}T^{4}A^{2}$
(iv) $MLT^{-2}A^{-2}$
Column-I
(A) $\epsilon_{0}$
(B) $\mu_{0}$
(C) E
(D) B
Column-II
(i) $MT^{-2}A^{-1}$
(ii) $MLT^{-3}A^{-1}$
(iii) $M^{-1}L^{-3}T^{4}A^{2}$
(iv) $MLT^{-2}A^{-2}$
20.
Which of the following statements are correct.
(a) Work done by normal reaction on a body placed on a surface is always zero.
(b) Friction force is a self adjusting force.
(c) Upthrust on a body dipped in a liquid is a contact force.
(a) Work done by normal reaction on a body placed on a surface is always zero.
(b) Friction force is a self adjusting force.
(c) Upthrust on a body dipped in a liquid is a contact force.
21.
Assertion: Drift velocity of e- in a metallic wire will decrease if temperature of wire is increased.
Reason: On increasing temperature conductivity of metallic wire decreases.
Reason: On increasing temperature conductivity of metallic wire decreases.
22.
The work function of metal A and B are in the ratio 1: 2. If light of frequencies f and 2f are incident on the surface of A and B respectively, the ratio of difference in maximum kinetic energies and higher kinetic energy of these two of photo electrons emitted will be (f and 2f both frequency greater than threshold frequency of metal A and B)
23.
If kinetic energy of a body is increased by 300% then percentage change in momentum will be:
24.
One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. The change in internal energy of gas during the transition is:
25.
C and Si both have same lattice structure, having 4 bonding electrons in each. However C is insulator where as Si is intrinsic semiconductor. This is because:
26.
An $\alpha$-particle and a proton are set free in a uniform electric field the ratio of their acceleration is:
27.
A quarter sector of a uniform disc of radius R is shown in figure. The coordinates of centre of mass is:
28.
A U tube having uniform bore and vertical limbs is filled partially with mercury $(\rho_{Hg}=13.6~g/cc).$ Water is poured into one of its limbs such that height of water column is 27.2 cm. The rise of mercury in the other limbs is:
29.
A block of mass m, connected to a light string wrapped over a disc pulley of mass 2m and radius 2r, is being pulled by a constant horizontal force F as shown. Tangential acceleration of a point distant r from the axis of pulley is (Assume that there is no slipping between the string and the pulley):
30.
One -q charge and seven +q charges are placed at verticals of a cube of side 1 as shown in figure. Find the magnitude of net coulomb force on (-q) charge in x direction:
31.
A very long cylindrical wire is carrying a current $I_{0}$ distributed uniformly over its cross section area. O is the centre of the cross section of the wire and the direction of current in into the plane of the figure. The value of $\int_{A}^{B}\vec{B}\cdot\vec{dl}$ along the path AB (from A to B) is:
32.
When a light incident on a medium at an angle of incidence 'i' and refracted into a second medium at angle of refraction 'r'. The graph of Sin 'i' and Sin 'r' is shown in the figure, then the critical angle for the two media is:
33.
Two identical cells connected in series send 10 amp current through a $5\Omega$ resistor. When they are connected in parallel, they send 8 amp current through the same resistance. What is the internal resistance of each cell?
34.
A circuit area $0.01m^{2}$ is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 millisecond. If the resistance of the circuit is $2\Omega$. The amount of heat evolved is:
35.
The longest wavelength associated with Paschen series is: (Given $R_{H}=1.097\times10^{7}$ SI unit)
36.
The ratio of radii of nuclie $_{13}Al^{27}$ and $_{52}X^{A}$ is 3 : 5. The number of neutrons in the nuclei of X will be:
37.
A uniform wire connected across a supply produces heat H per second. If the wire is cut into n equal parts and all the parts are connected in parallel across the same supply, the heat produced per second will be:
38.
If focus of a magnifying glass is 5 cm, at what distance an object is placed so that image will at least distance of distinct vision (if $D=20~cm)$ :
39.
From the circuit shown in figure, match the entries of column-I with entries in column II.
Column-I
A. minimum current
B. maximum current
C. maximum power
D. minimum power
Column-II
P. $2\Omega$
Q. $4\Omega$
R. $3\Omega$
S. $5\Omega$
Column-I
A. minimum current
B. maximum current
C. maximum power
D. minimum power
Column-II
P. $2\Omega$
Q. $4\Omega$
R. $3\Omega$
S. $5\Omega$
40.
In a photon particle collision.
Statement 1: The total energy and total momentum are conserved.
Statement 2: The number of photons may not be conserved.
Statement 1: The total energy and total momentum are conserved.
Statement 2: The number of photons may not be conserved.
41.
Atoms can be excited to higher states by:
42.
Consider the following statements:
Statement 1: The property that a given nucleon influences only nucleons close to it is also referred to as saturation property of the nuclear force.
Statement 2: There is no simple mathematical form of the nuclear force.
Statement 1: The property that a given nucleon influences only nucleons close to it is also referred to as saturation property of the nuclear force.
Statement 2: There is no simple mathematical form of the nuclear force.
43.
Consider the following statements:
Statement 1: Diffraction phenomena define the limits of ray optics.
Statement 2: Polarisation phenomena are special to longitudinal waves.
Statement 1: Diffraction phenomena define the limits of ray optics.
Statement 2: Polarisation phenomena are special to longitudinal waves.
44.
The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be:
45.
The bulk modulus of a spherical object is 'B'. If it is subjected to uniform pressure 'p' the fractional decrease in radius is: