1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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 the earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct?

A
d=3h2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
d=h2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
d=h
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
d=2h
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D d=2hVariation of g with altitude h is given by gh=g[1−2hR] (∵h<<R) Also, variation of g with depth d is given as gd=g[1−dR] (∵d<<R) Equating gh and gd, we get d=2h Hence, option (d) is correct. Why this question? Tip: The result gd=g(1−dR) is valid for any value of d, small or large.

Suggest Corrections
28
Join BYJU'S Learning Program
Related Videos
Types of Forces
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program