Question

What will be the acceleration of an object due to gravity if it is placed at a distance of $\frac{R}{2}$ from the centre of earth. Knowing mass is distributed uniformly, $\left(\right.g=$ acceleration due to gravity on the surface of earth and $R$ is the radius of earth). Assume mass of earth is distributed uniformly.

• A. $g$
• B. $2g$
• C. $\frac{g}{2}$
• D. None of these.

Answer 1

Answer: (C)

The acceleration due to gravity at a distance $x\left(\right.x < R\left.\right)$ from centre of earth (of radius $R$ ) is
$g\left(\right.x\left.\right)=g\frac{x}{R}\therefore g\left(\frac{R}{2}\right)=\frac{g}{2}$