Gravitation Tes...

The Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth. The value of f is:

At a place, the value of 'g' is less by 1% than its value on the surface of the Earth (Radius of Earth, $$R=6400 km$$). The place is :

Depth from the surface of the earth at which is acceleration due to gravity is 25% of acceleration due to gravity at the surface

The variation of g  with height or depth (r) is shown correctly by the graph in the figure (where R = radius of the earth),

A man weighs $$60 kg$$ at earth's surface. At what height above the earth's surface his weight becomes $$30 kg$$? (radius of earth  $$=6400 km$$).

At what altitude will the acceleration due to gravity be $$25\%$$ of that at the earth's surface $$($$given radius of earth is $$R)$$?

When a satellite moves around the earth in a certain orbit, the quantity which remains constant is:

Let $$\omega$$ be the angular velocity of the earth's rotation about its axis. Assume that the acceleration due to gravity on the earth's surface has the same value at the equator and the poles. An object weighed at the equator gives the same reading as a reading taken at a depth a below earth's surface at a pole $$(d << R)$$ The value of $$d$$ is

The condition for a uniform spherical mass $$M$$ of radius $$r$$ to be a black hole is $$(G=$$ gravitational constant, $$g=$$ acceleration due to gravity $$)$$.

A spring balance is graduated on sea level. If a body is weighted at consecutively increasing heights from earth's surface, the weight indicated by the balance :