Question

Acceleration due to gravity becomes half at a depth of half the radius of the earth.

• A. True
• B. False

Answer 1

The correct option is A True

acceleration due to gravity varies directly proportional to distance from center, i.e. r<R.

But varies $\frac{1}{r^2}$ when r>R

expression is given by $\frac{GMr}{R^3}$ if r<R

and $\frac{GM}{r^2}$ if r>R.

so when $r=\frac{R}{2}$ then g will be half of g when r=R.

so the above statement is true.