Question

If the radius of earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earths surface would

• A. decrease
• B. remains unchanged
• C. increase.
• D. none of these

Answer 1

The correct option is C increase.

$g_h=g(1-\frac{2h}{R})$

$g_x=g(1-\frac{X}{R})$

Given, $g_h=g_x$

$\therefore g(1-\frac{2h}{R})=g(1-\frac{X}{R})$

or, $2h=X$