First slide

Variation of g

Question

The change in the value of g at a height h above the surface of the earth is the same as at a depth d below the surface of earth. When both d and i are much smaller than the radius of the earth, then which of the following is correct ?

Easy

A

$d = \frac{h}{2}$
B

$d = \frac{3 h}{2}$
C

d = 2h
D

d = h

Solution

We know that, $g_{h} = g (1 - \frac{2 h}{R})$ ……………….(1)
and $g_{d} = g (1 - \frac{d}{R})$ …………………………….(2)
$\begin{array}{l} ∴ g (1 - \frac{2 h}{R}) = g (1 - \frac{d}{R}) \\ or 2 h = d \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App