The relationship between g and G is :

1. g = $\dfrac{GMm}{R^2}$

2. G = $\dfrac{gm}{R^2}$

3. g = $\dfrac{GM}{R^2}$

4. G = $\dfrac{MR^2}{g}$

The value of g on a planet depends on :

1. the mass of the planet
2. the radius of the planet
3. both (a) and (b)
4. composition of the planet

An object falling freely from rest reaches ground in 2 s. If acceleration due to gravity is 9.8 m s^-2 , the velocity of the object on reaching the ground will be —

1. 9.8 m s^-1
2. 4.9 m s^-1
3. 19.6 m s^-1
4. Zero

The body of mass 25 kg is taken from the earth to the moon. If the value of g on moon is 1.6 ms^-2 then the weight of the body on moon is :

1. 50 N
2. 100 N
3. 40 N
4. 60 N