Home
Class 12
PHYSICS
The gravitational acceleration on the su...

The gravitational acceleration on the surface of earth of radius R and mean density `rho` is

A

`4/3GpiR^2rho`

B

`4/3Gpi^2R^2rho`

C

`2/3GpiRrho`

D

`4/3GpiRrho`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The escape velocity from the surface of the earth of radius R and density rho

Show that the escape velocity of a body from the surface of a planet of radius R and mean density rho is Rfrac(sqrt8pirhoG)(3) OR Show that the escape velocity of a body from the surface of the earth is 2Rfrac(sqrt2pirhoG)(3) , where R is the radius of the earth and rho is the mean density of the earth. OR Obtain formula of escape velocity of a body at rest on the earth's surface in terms of mean density of erth.

Show that the critical velocity of a body revolving in a circular orbit very close to the surface of a planet of radius R and mean density rho is 2R sqrt((Gpi rho)/(3)) .

The acceleration due to gravity on the surface of earth varies

Define Earth's gravitational acceleration

.Derive an expression for the gravitational acceleration on the earth's surface at a latitude lambda OR Explain the variation of acceleration due to gravity due to the rotational motion of the earth OR Explain the effect of latitude on the value of acceleration due to gravity

The value of gravitational acceleration at a height equal to radius of earth, is

The gravitational force on the surface of th Moon is _______ times than that on the surface of the Earth.

Discuss the variation of g with depth and derive the necessary formula. OR Show that the gravitational acceleration due to the earth at a depth d from its surface is g_d= g[1- frac(d)(R)] , where R is the radius of the earth and g is the gravitional acceleration at the earth's surface. OR Discus the variation of acceleration due to gravity with depth 'd' below the surface of the earth OR Derive an expression for acceleration due to gravity at depth 'd' below the surface of earth

What is the variation in acceleration due to gravity with altitude? OR Derive an expression for the gravitational acceleration at an altitude h above the earth. OR Show that the gravitional acceleration at a height h above the surface of the earth is (in usual notations) g_h = g (frac(R)(R + h)^2)