Question

The value of g at a particular point is 9.8 $m/se{c}^2$ suppose the earth suddenly shrink uniformly to half its present size without losing any mass. The value of $g$ at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will become

• A. $9.8m/se{c}^2$
• B. $4.9m/se{c}^2$
• C. $19.6m/se{c}^2$
• D. $3.1m/se{c}^2$

Answer 1

The correct option is A $9.8m/se{c}^2$

$g=\frac{GM}{r}$

Here $M$ and $r$ are constant

$\therefore g^{\prime }=9.8m{s}^{-2}$