Question Details

The value of ‘g’ (acceleration due to gravity) is minimum at:

Options

A

The Equator

B

The North Pole

C

The South Pole

D

The center of the Earth

Show Answer

Correct Answer :

Option D

The center of the Earth

Solution :

The correct option is The center of the Earth.

Acceleration due to gravity (g) is the rate at which an object accelerates towards the Earth due to its gravitational attraction.

The value of acceleration due to gravity at a depth d inside the Earth is given by the formula:
g=g(1-dR)
where g is the acceleration due to gravity at the surface of the Earth, and R is the radius of the Earth.

At the center of the Earth, the depth d becomes equal to the radius of the Earth (R). Substituting d=R into the formula gives:
g=g(1-RR)=g(1-1)=0

Since the acceleration due to gravity at the center of the Earth is zero, it reaches its absolute minimum value at this point.

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