Gravitation PYQs - Last 5 Years

A body of mass \(\mathrm{m}\) is projected with velocity \(\lambda \,v_{\mathrm{e}}\) in vertically upward direction from the surface of the earth into space. It is given that \(v_{\mathrm{e}}\) is escape velocity and \(\lambda<1\). If air ...

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented by :
(Given R = radius of earth)

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If we move from poles to equator, the direction of acceleration due to gravity of earth always points towards the center of...

The percentage decrease in the weight of a rocket, when taken to a height of \(32 \mathrm{~km}\) above the surface of earth will, be :
\((\) Radius of earth \(=6400 \mathrm{~km})\)

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be :
(Take radius of earth \(=6400 \mathrm{~km}\) and $$\mathrm{g}=10 \math...

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth).

Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respectively. The ratio of speed of satellite S1 to be speed of satellite S2 in their respective orbits would be $${1 \over x...

Three identical particles \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) of mass \(100 \mathrm{~kg}\) each are placed in a straight line with \(\mathrm{AB}=\mathrm{BC}=13 \mathrm{~m}\). The gravitational force on a fourth particle $$\mathrm{...

An object is taken to a height above the surface of earth at a distance \({5 \over 4}\) R from the centre of the earth. Where radius of earth, R = 6400 km. The percentage decrease in the weight of the object will be :

The length of a seconds pendulum at a height h = 2R from earth surface will be:
(Given R = Radius of earth and acceleration due to gravity at the surface of earth, g = \(\pi\)2 ms\(-\)2)

The approximate height from the surface of earth at which the weight of the body becomes \({1 \over 3}\) of its weight on the surface of earth is :
[Radius of earth R = 6400 km and \(\sqrt 3\) = 1.732]

The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :