Home
Class 12
PHYSICS
If the change in the value of g at a hei...

If the change in the value of g at a heighth above the surface of the earth is the same as at a depth x below it, then (x and h being much smaller than the radius of the earth)

A

`x=2h`

B

`x=h`

C

`x=(h)/(2)`

D

`x=h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
At height h, g. `=g(1-(2h)/(R))`
At depth x, g.. `=g(1-(x)/(R))`
Given , `g.=g..`
`therefore x=2h`
Promotional Banner

Similar Questions

Explore conceptually related problems

If the change in the value of g at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)

If the change in the value of g at a height h above the surface of earth is the same as at a depth d below it (both h and d are much smaller than the radius of the earth), then

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 h are much smaller than the radius of earth, then which one of the following is correct?

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 h are much smaller than the radius of earth, then which one of the following is correct ?

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 'h' are much smaller then the radius of earth, then which one of the following is correct?

The acceleration due to gravity at a height h above the surface of the earth has the same value as that at depth d= ____below the earth surface.

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth

At what height from the surface of earth the value of g is same as at a depth of (R )/(4) ?