Question

The weight of an object is zero at:

• A. a height equal to half of the radius of earth
• B. the center of the earth
• C. the equator
• D. both (1) and (2)

Answer 1

The correct option is B the center of the earth

Weight is the gravitational force exerted by a bigger body on another small body.
Gravitational force acting on a body inside the earth is
$F_g=\frac{4G\pi rkm}{3}$, $r$ is the distance of the body from the center of the earth, $k$ is the density of the earth.
When $r=0,F_g=0$