Question

The value of acceleration due to gravity, at earth surface is $g$. Its value at the centre of the earth, which we assume as a.sphere of radius $R$ and of uniform mass density, will be:

• A. $10Rm/s^2$
• B. Zero
• C. $5Rm/s$
• D. $20Rm/s^2$

Answer 1

The correct option is B Zero

$Answer:-$ B

Variation of $g$ with depth is given by:-

$g_d=g(1-\frac{d}{R})$

where d is depth from surface,

As value of $d$ approaches $R$ value of $g_d\simeq 0$