Gravitation Tes...

The ratio of the radii of the planets $${P}_{1}$$ and $${P}_{2}$$ is $$k$$. The ratio of gravitational field intensity at their surface is $$r$$ then the ratio of the escape velocities from them will be -

Mass of a planet is $$5 \times  10^{24}$$ kg and radius is $$6.1 \times  10^6$$m. The energy needed to send a $$2$$ kg body into space from its surface, would be.

Gravitational potential difference between surface of a planet and a point situated at a height of $$20m$$ above its surface is $$2 joule/kg$$. If gravitational field is uniform, then the work done in taking a $$5kg$$ body of height $$4$$ meter above surface will be :-

An object weighs $$10 N$$ at the north pole of theearth. In a geostationary satellite distance $$7R$$ from the centre of the earth (of radius $$R$$), the true weight and the apparent weight are.

A body of mass $$m$$ is situated at distance $$4R_e$$ above the earth's surface, where $$R_e$$ is the radius of earth how much minimum energy be given to the body so that it may escape

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 $$d$$ below it. When both $$d$$ and $$h$$ are much smaller than the radius of earth, then

The weight of an object would be minimum when it is placed :

If $$A$$ is the areal velocity of planet of mass $$M$$. its angular momentum is

The velocity of a planet revolving around the sun at three different times of a year is shown in the figure. Which among the following alternatives is correct ?