A body weighs 200 N on the surface of the earth. How much will it weigh halfway down to the centre of the earth?

1. 100 N

2. 150 N

3. 200 N

4. 250 N

What is the depth at which the value of acceleration due to gravity becomes 1/n times the value that at the surface of the earth? (radius of earth = R)

1. R/${\mathrm{n}}^2$

2. R(n – 1)/n

3. Rn/(n – 1)

4. R/n

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?

1. 32 N

2. 30 N

3. 24 N

4. 48 N

The dependence of acceleration due to gravity 'g' on the distance 'r' from the centre of the earth, assumed to be a sphere of radius R of uniform density, is as shown in figure below:
   
The correct figure is:
1. a

2. b

3. c

4. d

What is the depth at which the value of acceleration due to gravity becomes 1/n times the value of that at the surface of the earth? (radius of earth = R)

(1) R/${\mathrm{n}}^2$

(2) R(n – 1)/n

(3) Rn/(n – 1)

(4) R/n

Two girls are standing on the edge of a building tossing coins over the edge. Alice is dropping her coins, each of which is \(10~\text{gm}.\) Barbara is tossing her coins horizontally at \(0.3~\text{m/s},\) and her coins are \(40~\text{gm}\) each (see figure). Ignore air resistance.