EASY
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IMPORTANT
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India's Mangalyan was sent to the Mars by launching it into a transfer orbit EOM around the sun. It leaves the earth at E and meets Mars at M. If the semi-major axis of Earth's orbit is a e = 1.5 × 1 0 1 1 m  , that of Mar's orbit a m = 2.28 × 1 0 1 1 m , taking Kepler's laws, give the estimate of time for Mangalyan to reach Mars from Earth.
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Important Questions on Gravitation

MEDIUM
JEE Main
IMPORTANT
Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is
MEDIUM
JEE Main
IMPORTANT
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R ?
HARD
JEE Main
IMPORTANT

From a solid sphere of mass M and radius R, a spherical portion of radius R2 is removed as shown in the figure. Taking gravitational potential V=0 at r=, the potential at the centre of the cavity thus formed is (G=gravitational constant)

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EASY
JEE Main
IMPORTANT
The gravitational field in a region is given by g=5i^+12j^ N kg-1. The change in the gravitational potential energy of a particle of mass 2 kg when it is taken from the origin to a point 7 m,-3 m is
EASY
JEE Main
IMPORTANT
The approximate height from the surface of earth at which the weight of the body becomes 13 of its weight on the surface of earth is :
[Radius of earth R=6400 km and 3=1.732]
EASY
JEE Main
IMPORTANT
The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :
EASY
JEE Main
IMPORTANT
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).
EASY
JEE Main
IMPORTANT
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 the speed of satellite S2 in their respective orbits would be 1x, where x=