Question

Weight of a body of mass m decreases by $1$ when it is raised to height $h$ above the earth's surface. If the body is taken to a depth $h$ in a mine, change in its weight is

• A. 0.5% increase
• B. 1% increase
• C. 0.5% decrease
• D. 2% decrease

Answer 1

Answer: (C)

0.5% decrease

Answer 2

$g_h = g \left( 1 - \frac{2h}{R} \right)$
$g_d = g \left( 1 - \frac{d}{R}\right)$
where d = h (given)
Clearly d = h brings 0.5% decrease in g.