A body, the mass and the weight of which were already determined as the Equator, is now placed at the Pole. In this context, choose the correct statement from the following:

a. Mass does not change, weight is maximum

b. Mass does not change, weight is minimum

c. Both mass and weight are maximum

d. Both mass and weight are minimum.

(a. Mass does not change, weight is maximum)

Due to the shape of the earth, the radius at the poles is less than the radius of earth at equator.

The value of acceleration due to gravity is calculated as

where
g=acceleration due to gravity
M= Mass of earth
R=radius of earth
G=Universal gravitational constant

More the radius of the earth, lesser is the acceleration due to gravity. Thus, is minimum at equator

and maximum at the poles.

The weight(W) of a body is given by
W=mass(m)×acceleration due to gravity(g)
⇒W=mg
At the equator, due to minimum value of acceleration due to gravity, the weight is minimum.

At the poles due to maximum value of acceleration due to gravity, the weight is maximum.
Tip: The mass of a body does not depend on acceleration due to gravity.
Thus, the mass remains constant at both the equator and the poles.