Which one of the following represents the correct dimensions of the coefficient of viscosity?

• ML⁻¹ T⁻²

• MLT⁻¹

• ML⁻¹ T⁻¹

• ML⁻¹ T⁻¹

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

• x²

• e^x

• x

• x

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds?

• h/9 metres from the ground

• 7h/9 metres from the ground

• 8h/9 metres from the ground

• 8h/9 metres from the ground

• π

• π/3

• π/2

• π/2

5.

A projectile can have the same range R for two angles of projection. If T₁ and T₂ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

• 1/R²

• 1/R

• R

• R

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

• The velocity vector is tangent to the circle.

• The acceleration vector is tangent to the circle.

• The acceleration vector points to the centre of the circle.

• The acceleration vector points to the centre of the circle.

An automobile travelling with speed of 60 km/h, can brake to stop within a distance of 20 cm. If the car is going twice as fast, i.e 120 km/h, the stopping distance will be

• 20 m

• 40 m

• 60 m

• 60 m

A machine gun fires a bullet of mass 40 g with a velocity 1200 ms⁻¹. The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most?

• one 

• Four

• Two

• Two

Two masses m₁ = 5 kg and m₂ = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move?
(g = 9.8 m/s² )

• 0.2 m/s²

• 9.8 m/s²

• 5 m/s²

• 5 m/s²

A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?

• 7.2 J

• 3.6 J

• 120 J

• 120 J