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**Q.1. A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth? [2020]A: 30 NB: 24 NC: 48 ND: 32 NAns:** D

A: 150 N

B: 200 N

C: 250 N

D: 100 N

Ans:

Acceleration due to gravity at a depth d from surface of earth

Where g = acceleration due to gravity at earth's surface

Multiplying by mass 'm' on both sides of (1)

A: Raindrops will fall faster

B: Walking on the ground would become more difficult

C: Time period of a simple pendulum on the Earth would decrease

D: 'g' on the Earth will not change

Ans:

Raindrops will fall faster, Walking on the ground would become more difficult. Time period of a simple pendulum on the earth would decrease.

A: d = 1 km

B:

C: d = 2 km

D:

Ans:

**Q.5. Two astronauts are floating in gravitational free space after having lost contact with their spaceship.The two will :- [2017]A: Move towards each other.B: Move away from each other.C: Will become stationaryD: Keep floating at the same distance between them.Ans:** A

A: 2000 km

B: 2600 km

C: 1600 km

D: 1400 km

Ans:

-GM/r = 5.4 x 10

-GM/r

dividing both the equations, r = 9000 km.

so height from the surface = 9000 - 6400 = 2600 km

A: 1:√2

B: 1:2

C: 1:2√2

D: 1:4

Ans:

So answer is option 3

If the masses of sun and planet are M and m respectively then as per Newton?s law of gravitation force of attraction between them is

A: K=1/G

B: GK4π

C: GMK=4π

D: K=G

Ans:

Solution:

**Q.9. Two spherical bodies of mass M and 5 M and radii R and 2 R are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is : [2015]A: 1.5 RB: 2.5 RC: 4.5 RD: 7.5 RAns: **D

Let centre of mass C at a distance x_{1} from m_{1} and x_{2} from m_{2}

Since the masses are moving under mutual attraction the position of centre of mass remains constant.

When the masses are in contact, let x'_{1} and x'_{2} be the distance of their centres from the centre of mass.

**Q.10. Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by: [2014]A:**

B:

C:

D:

**Ans:** B

A: 10

B: 100 m

C: 10

D: 10

Ans:

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