Weight of a body of mass m decreases by 1%

Your Ultimate Guide to JEE & NEET Question Solutions

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

$2\%$ decrease

B

$0.5\%$ decrease

C

$1\%$ increase

D

$0.5\%$ increase

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

For height $\frac{{\Delta g}}{g} \times 100\% = \frac{{2h}}{R} = 1\% ;$

For depth $\frac{{\Delta g}}{g} \times 100\% = \frac{d}{R} = \frac{h}{R} = \frac{1}{2}\% = 0.5\% $