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- Question 1 of 60
##### 1. Question

The angle between two linear trans-membrane domains is defined by following vectors

CorrectIncorrect - Question 2 of 60
##### 2. Question

The distance x(in μm) covered by a molecule starting from point A at time t = 0 and stopping at another point B in given by the equation

The distance between A and B (in μm) is closed to

CorrectIncorrect - Question 3 of 60
##### 3. Question

A tangential force acting on the top of sphere of mass m kept on a rough horizontal place as shown in figure.

If the sphere rolls without slipping, then the acceleration with which the centre of sphere moves, is

CorrectIncorrect - Question 4 of 60
##### 4. Question

The density of a rod having length l varies as ρ = c + dx, where x is the distance from the left end. The centre of mass is

CorrectIncorrect - Question 5 of 60
##### 5. Question

One end of a massless spring of constant 100 N/m and natural length 0.5 m is fixed and the other end is connected to a p article of mass 0.5 kg lying on a frictionless horizontal table. The spring remains horizontal. If the mass is made to rotate at angular velocity of 2 rad/s, then elongation of spring is

CorrectIncorrect - Question 6 of 60
##### 6. Question

A block slides down on an incline of angle 30° with an acceleration g/4. Find the kinetic friction coefficient.

CorrectIncorrect - Question 7 of 60
##### 7. Question

Two long straight wires, each carrying an electric current of 5 A, are kept parallel to each other at a separation of 2.5 cm. Find the magnitude of the magnetic force experiment by 10 cm of a wire.

CorrectIncorrect - Question 8 of 60
##### 8. Question

A wire of resistance 10 Ω is bent to form a complete circle. Find its resistance between two diametrically opposite point.

CorrectIncorrect - Question 9 of 60
##### 9. Question

Find the resistance of a hollow cylindrical conductor of length 1.0 mm and 2.0 mm respectively. The resistivity of the material is 2.0 × 10

^{−8}Ωm.CorrectIncorrect - Question 10 of 60
##### 10. Question

Three equal charges, each having a magnitude of 2.0 × 10

^{−6}C, are placed at the three corners of a right angled triangle of sides 3 cm 4 cm and 5 cm. The force (in magnitude) on the charge at the rightCorrectIncorrect - Question 11 of 60
##### 11. Question

A diatomic gas (γ = 1.4) does 200 J of work when it is expanded isobarically. Find the heat given to the gas in the process.

CorrectIncorrect - Question 12 of 60
##### 12. Question

A uniform ring of mass m and radius a is placed directly above a uniform sphere of mass m and of equal to radius. The centre of the ring is at a distance √3a from the centre of the sphere. The gravitational force (F) exerted by the sphere on the ring is

CorrectIncorrect - Question 13 of 60
##### 13. Question

A projectile is fired with a velocity u at angle θ with the ground surface. During the motion at any time it is making an angle α with the ground surface. The speed of particle at this time will be

CorrectIncorrect - Question 14 of 60
##### 14. Question

The earth receives solar radiation at a rate of 8.2 J cm

^{−2}min^{−1}. If the sun radiates as the black bodies, the temperature at the surface of the sun will be (the angle subtended by sun on the earth in suppose 0.53° and Stefan constant is σ = 5.67 × 10^{−8}Wm^{−2}K^{4})CorrectIncorrect - Question 15 of 60
##### 15. Question

The rms speed (in m/s) of oxygen molecules of the gas at temperature 300 K, is

CorrectIncorrect - Question 16 of 60
##### 16. Question

A horizontal tube of length l closed at both ends, contains an ideal gas of molecular weight M. The tube is rotated at a constant angular velocity ω about a vertical axis passing through an end. Assuming the temperature to be uniform and constant. If p

_{1}and p_{2}denote the pressure at free and the fixed end respectively, then choose the correct relation.CorrectIncorrect - Question 17 of 60
##### 17. Question

The parts of two concentric circular arcs joined by two radial lines and carries current i. The arcs subtend an angle θ at the centre of the circle. The magnetic field at the centre O, is

CorrectIncorrect - Question 18 of 60
##### 18. Question

1 kg of water is converted into steam at the same temperature and at 1 atm (100 kPa). The density of water and steam are 1000 kgm

^{−3}and 0.6 kgm^{−3}respectively. The latent heat of vaporization of water is 2.25 × 10^{−6}J kg^{−1}, What will be increase in energy?CorrectIncorrect - Question 19 of 60
##### 19. Question

The ammeter shown in figure consists of a 480 Ω coil connected in parallel to a 20Ω shunt. The reading of ammeter is

CorrectIncorrect - Question 20 of 60
##### 20. Question

A lead ball at 30℃ is dropped from a height of 6.2 km. The ball is heated due to the air resistance and it completely melts just before reaching the ground. The molten substance falls slowly on the ground. If the specific heat of lead = 126 Jkg

^{−1}℃^{−}^{1}and melting point of lead = 130℃ and suppose that any mechanical energy lost is used to heat the ball, then the latent heat of fusion of lead isCorrectIncorrect - Question 21 of 60
##### 21. Question

A inductor (L- 20 H), a resistor (R = 100 Ω) and a battery (E = 10 V) are connected in series. After a long time, the circuit is short-circuited and then the battery is disconnected. Find the current in the circuit at 1 ms after short circuiting.

CorrectIncorrect - Question 22 of 60
##### 22. Question

Two charges of +10μC and +20μC are separated by a distance 2 cm. The net potential (electric) due to the pair at the middle point of the line joining the two changes, is

CorrectIncorrect - Question 23 of 60
##### 23. Question

A copper rod of length 20 cm and cross-sectional area 2 mm

^{2}is joined with a similar aluminium rod as shown belowThe resistance of pair of rods is

(ρ

_{Al }= 2.6 × 10^{−8}Ω-m and ρ_{Cu}= 1.7 × 10^{−8}Ω-m)CorrectIncorrect - Question 24 of 60
##### 24. Question

A particle is subjected to two simple harmonic motions along X-axis while other is along a line making angle 45° with the X-axis. The two motions are given by x = x

_{0}sin ωt and s = s_{0}sin ωt.The amplitude of resultant motion is

CorrectIncorrect - Question 25 of 60
##### 25. Question

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 × 10

^{5}Nm^{−2}from the following data? Density of kerosene = 800 kg m^{−3}and speed of sound in kerosene = 1330 ms^{−1}.CorrectIncorrect - Question 26 of 60
##### 26. Question

A 4 kg block is suspended from the ceiling of an elevator through a spring having a linear mass density of 19.2 × 10

^{−3}kg m^{−3}. Find the speed with respect to spring with which a wave pulse can proceed on the spring if the elevator accelerates up at the rate of 2.0 ms^{−2}. Take g = 10 ms^{−2}CorrectIncorrect - Question 27 of 60
##### 27. Question

The lower end of capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level. If the same tube is immersed in water, upto what height will the water rise in the capillary?

CorrectIncorrect - Question 28 of 60
##### 28. Question

Find the increase in pressure required to decrease the volume of water sample by 0.01% Bulk modulus of water = 2.1 × 10

^{9}Nm^{−2}.CorrectIncorrect - Question 29 of 60
##### 29. Question

Water level is maintained in a cylindrical vessel upto a fixed height H. The vessel is kept on a horizontal plane. At what weight above the bottom should a hole be made in the vessel, so that the water stream coming out of the hole strikes the horizontal p lane of the greatest distance from the vessel.

CorrectIncorrect - Question 30 of 60
##### 30. Question

Figure shows spring + block + pulley system which are light. The time period of mass would be

CorrectIncorrect - Question 31 of 60
##### 31. Question

A pendulum having a bob of mass m is hanging in a ship sailing along the equator form east to west. When the strip is stationary with respect to water, the tension in the string is T

_{0}. The difference between T_{0}and earth attraction on the bob, isCorrectIncorrect - Question 32 of 60
##### 32. Question

A solid sphere is set into motion on a rough horizontal surface with a linear speed v in the forward direction and an angular speed v/R in the anticlockwise direction as shown in figure. Find the linear speed of the sphere when it stops rotating and

CorrectIncorrect - Question 33 of 60
##### 33. Question

Two blocks of mass m

_{1}and m_{2}are connected by a spring of spring constant k. The block of mass m_{2}is given a sharp empulse so that it acquires a velocity v_{0}towards right. Find the maximum elongation that the spring will suffer.CorrectIncorrect - Question 34 of 60
##### 34. Question

A ball of mass m hits the floor with a speed v making an angle of incidence θ with the normal. The coefficient of restitution is e.

The speed of reflected ball and the angle of reflection of the ball will be

CorrectIncorrect - Question 35 of 60
##### 35. Question

A particle slides on surface of a fixed smooth sphere starting from topmost point. The angle rotated by the radius through the particle,, when it leaves contact with the sphere, is

CorrectIncorrect - Question 36 of 60
##### 36. Question

What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes and angle θ/2 with the horizontal?

CorrectIncorrect - Question 37 of 60
##### 37. Question

A block of mass 2 kg is pushed against rough vertical wall with a force of 40 N, coefficient of static friction being 0.5. Another horizontal force of 15 N, is applied on the block in a direction parallel to the wall. If the block will move, then its direction would be

CorrectIncorrect - Question 38 of 60
##### 38. Question

A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12 m/s

^{2}. Find the displacement of the block during the first 0.2 s after the start. (Take, g = 10 m/s^{2})CorrectIncorrect - Question 39 of 60
##### 39. Question

A monkey of mass 15 kg is climbing on a rope with one end fixed to the ceiling. If it wishes to go up with an acceleration 1 m/s

^{2}, how much force should it apply to the rope if rope is 5 m long and the monkey starts from rest?CorrectIncorrect - Question 40 of 60
##### 40. Question

A square loop is made y a uniform conductor wire as shown in figure?

The net magnetic field at the centre of the loop if side length of the square is a

CorrectIncorrect - Question 41 of 60
##### 41. Question

The electron of an H-atom is revolving around the nucleus in circular orbit having radius The current produced due to the motion of electron is

CorrectIncorrect - Question 42 of 60
##### 42. Question

Two small balls, each carrying a charge q are suspended by equal insulator strings of length l m form the hook of a stand. This arrangement is carried in a satellite in space. The tension in each string will be

CorrectIncorrect - Question 43 of 60
##### 43. Question

A vessel of depth t is half filled with a liquid having refractive index n

_{1}and the other half is filled with water of having refractive index n_{2}. The apparent depth of the vessel as viewed from top isCorrectIncorrect - Question 44 of 60
##### 44. Question

In photoelectric effect, the number of photo-electrons emitted is proportional to

CorrectIncorrect - Question 45 of 60
##### 45. Question

A change of 8.0 mA in the emitter current brings a change of 7.9 mA in the collector current. The value of α will be

CorrectIncorrect - Question 46 of 60
##### 46. Question

The half-life of

^{198}Au is 2.7 days. The average life isCorrectIncorrect - Question 47 of 60
##### 47. Question

The de-Broglie wavelength of electron falling on the target in an X-ray tube is λ. The cut-off wavelength of the emitted X-ray is

CorrectIncorrect - Question 48 of 60
##### 48. Question

If M

_{O}is the mass of an oxygen isotope_{8}O^{17}, M_{P}and M_{n}are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope isCorrectIncorrect - Question 49 of 60
##### 49. Question

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1. The ratio of their nuclear size will be

CorrectIncorrect - Question 50 of 60
##### 50. Question

The given p-V diagram shows gases during adiabatic process. Plots 1 and 2 should correspond respectively to

CorrectIncorrect - Question 51 of 60
##### 51. Question

For an adiabatic expansion of a mono atomic perfect gas, the volume increases by 24%. What is the percentage decrease in pressure?

CorrectIncorrect - Question 52 of 60
##### 52. Question

A body weighing 8 g when placed in one pan and 18 g when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

CorrectIncorrect - Question 53 of 60
##### 53. Question

A rod PQ of length l is moving with ends remaining in contact with frictionless wall and floor. If at the instant, shown the velocity of end Q is 2 m/s towards negative direction of x. The speed of end P will be

CorrectIncorrect - Question 54 of 60
##### 54. Question

Universal time is based on

CorrectIncorrect - Question 55 of 60
##### 55. Question

A slab consists of portions of different materials of same thickness and having the conductivities K

_{1}and K_{2}. The equivalent thermal conductivity of the slab isCorrectIncorrect - Question 56 of 60
##### 56. Question

Two rigid boxes containing different ideal gases are placed on table. Box A contains one mole of nitrogen at temperature T

_{0}, while box B contains 1 mole of helium at temperature 7/3 T_{0}. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes) then the final temperature of gases, T_{f}in terms of T_{0}isCorrectIncorrect - Question 57 of 60
##### 57. Question

The temperature of the cold junction of thermocouple is 0℃ and the temperature of hot junction is T℃. The emf is E = 16T – 0.04 T

^{2}μV. The inversion temperature T_{i}isCorrectIncorrect - Question 58 of 60
##### 58. Question

The galvanometer resistance is 30Ω and it is connected to 2 V battery along with a resistance 2000 Ω in series. A full scale deflection of 25 divisions is obtained. In order to reduce this deflection to 20 divisions, the resistance in series should be

CorrectIncorrect - Question 59 of 60
##### 59. Question

A thin bar magnet of length 2 L is bent at the mid-point so that the angle between them is 60°. The new length of the magnet is

CorrectIncorrect - Question 60 of 60
##### 60. Question

The magnetic flux through each turn of a coil having 200 turns is given as (t

^{2}– 2t) × 10^{−3}Wb, where t is in second. The emf induced in the coil at t = 3 s isCorrectIncorrect