If M is the mass ofthe earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is

• $\frac{{\mathrm{R}}^2}{\mathrm{M}}$

• $\frac{\mathrm{M}}{{\mathrm{R}}^2}$

• MR²

• $\frac{\mathrm{M}}{\mathrm{R}}$

A student unable to answer a question on Newton's laws of motion attempts to pull himself up by tugging on his hair. He will not succeed

• as the force exerted is small

• the frictional force while gripping, is small

• Newton's law of inertia is not applicable to living beings

• as the force applied is internal to the system

Three long, straight parallel wires, carrying current, are arranged as shown in figure. The force experienced by a 25 cm length of wire C is

• 5.2 × 10³ N

• 2.5 × 10^-3 N

• zero

• 1.5 × 10^-3 N

A 5.0 amp current is setup in an external circuit by a 6.0 volt storage battery for 6.0 minutes. The chemical energy of the battery is reduced by

• 1.08 × 10⁴ J

• 108 × 10⁴ J

• 1.8 × 10⁴ J

• 18 × 10⁴ J

The adjacent figure is the part of a horizontally stretched net. Section AB is stretched with a force of 10 N. The tensions in the sections BC and BF are

• 10 N, 11 N

• 10 N, 6 N

• 10 N, 10 N

• can't be calculated due to insufficient data

Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant ?

• Acceleration due to gravity

• Surface tension of water

• Weight of a standard kilogram mass

• The velocity of light in vacuum

The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be

• 30 J

• 15 J

• 25 J

• 20 J

From the top of a tower of two stones, whose masses are in the ratio 1 : 2 are thrown on straight up with an initial speed u and the second straight down with the same speed u. Then neglecting air resistance

• the heavier stone hits the ground with a higher speed

• the lighter stone hits the ground with a higher speed

• both the stones will have the same speed when they hit the ground

• the speed can't be determined with the gven data

From the adjacent figure, the correct observation is

• the pressure on the bottom of tank A is greater than at the bottom of B

• the pressure on the bottom of the tank A is smaller than at the bottom of B

• the pressure depends on the shape of the container

• the pressure on the bottom of A and B is the same

Which one of the following is not a unit of Young's modulus?

• Nm^-1

• Nm^-2

• dyne cm^-2

• Mega pascal