Given in the figure are two blocks A and B of weight 20 N and 100 N respectively. These are being pressed against a wall by a force F as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is

• 100N

• 80 N

• 120 N

• 150 N

A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to

• 44%

• 50%

• 56%

• 62%

A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

• 2g/3

• g/2

• 5g/6

• 5g/6

A block of mass m is placed on a surface with a vertical cross-section given by y = x³/6. If the coefficient of friction is 0.5, the maximum height above ground at which the block can be placed without slipping is 

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of 1.5 x10^–2N (see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is

• 0.0125 Nm^-1

• 0.1 Nm^-1

• 0.05 Nm^-1

• 0.05 Nm^-1

A liquid in a beaker has temperature θ(t) at time t and θ₀ is temperature of surroundings, then according to Newton's law of cooling the correct graph between loge (θ – θ₀) and t is

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R.Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m, if the string does not slip on the pulley, is

• g

• 2/3g

• g/3

• g/3

8.

A pulley of radius 2m is rotated about its axis by a force F = (20t - 5t²) Newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg-m², the number of rotations made by the pulley before its direction of motion if reversed is

• more than 3 but less than 6

• more than 6 but less than 9

• more than 9

• more than 9

STATEMENT – 1
Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
STATEMENT – 2
Principle of conservation of momentum holds true for all kinds of collisions.

• The statement I is True, Statement II is False.

• The statement I is True, Statement II is True; Statement II is a correct explanation for Statement I.

• The statement I is True, Statement II is True; Statement II is not the correct explanation for Statement I.

• The statement I is True, Statement II is True; Statement II is not the correct explanation for Statement I.

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?

• 4.9 ms^-2 in horizontal direction

• 9.8 ms^-2 in vertical direction

• zero

• zero