At what depth below the surface of earth the value of g is the same as that of a height of 5 km?

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Acceleration due to gravity at depth d below the surface earth

Acceleration due to gravity at height h from the surface of the earth

A body is taken to a height of nR from the surface of the earth. The ratio of the acceleration due to gravity on the surface to that at the altitude is

If the density of the earth is doubled keeping radius constant, find the new acceleration due to gravity?

The value of g decreases inside the surface of earth because

The value of g on the surface of earth is smallest at the equator because

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g’, then

The ratio of radii of earth to another planet is 2/3 and the ratio of their mean densities is 4/5. If an astronaut can jump to a maximum height of 1.5 m on the earth, with the same effort, the maximum height he can jump on the planet is

The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is

The effect of rotation of the earth on the value of acceleration due to gravity is

A body is at rest on the surface of the earth. Which of the following statements is correct?

Q10

The density of earth in terms of acceleration due to gravity (g), radius of earth (R) and universal gravitational constant (G) is