Gravitation Tes...

On a planet where $${ g }_{ planet }=0.2{ g }_{ earth }$$. What will be the difference in the height of column filled with mercury in a closed end manometer when the gas is filled withe pressure of $$2atm$$ on earth (Assuming:outside pressure to be $$1atm$$ on both planet; Volume of gas remain constant)

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

A particle of mass M is situated at the centre of spherical shell of same mass and radius a. The gravitational potential at a point situated at a/2 distance from the centre will be

Suppose(God forbid) due to some reason, the earth expands to make its volume eight-fold. What you expect your weight to be?

KEPLER'S LAWS
Which of the following orbits is a possible orbit for a planet?

The height from earth's surface at which acceleration due to gravity becomes $$\dfrac {g}{4}$$ is (where $$g$$ is acceleration due to gravity on the surface of earth and $$R$$ is radius of earth).

'G' represents
I. Acceleration due to gravity.
II. Weight
III. Gravitational constant
Which combination is correct?

A smooth and bottomless tunnel is dug through the centre of earth. A particle is released from the surface of earth into the tunnel. Time to reach centre of tunnel is (approximately) equal to (where $$R =$$ Radius of earth).

From a solid sphere of mass $$M$$ and radius $$R$$ a spherical portion of radius $$\dfrac {R}{2}$$ is removed, as shown in the figure. Taking gravitational potential $$V = 0$$ at $$r = \infty$$, the potential at the centre of the cavity thus formed is : $$(G =$$ gravitational constant).

A hole is drilled along the earth's diameter and a stone is dropped into it. When the stone is at the centre of the earth, it has.