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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 and meets Mars at . If the semi-major axis of Earth's orbit is , that of Mar's orbit , taking Kepler's laws, give the estimate of time for Mangalyan to reach Mars from Earth.


(a) days.
(b) days.
(c) days.
(d) days.

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Important Questions on Gravitation
MEDIUM
JEE Main
IMPORTANT
Four particles, each of mass and equidistant from each other, move along a circle of radius 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 from the surface of a planet of mass and radius in a circular orbit at an altitude of ?

HARD
JEE Main
IMPORTANT
From a solid sphere of mass and radius a spherical portion of radius is removed as shown in the figure. Taking gravitational potential at the potential at the centre of the cavity thus formed is (gravitational constant)

EASY
JEE Main
IMPORTANT
The gravitational field in a region is given by . The change in the gravitational potential energy of a particle of mass when it is taken from the origin to a point is

EASY
JEE Main
IMPORTANT
The approximate height from the surface of earth at which the weight of the body becomes of its weight on the surface of earth is :
[Radius of earth and ]

EASY
JEE Main
IMPORTANT
The distance between Sun and Earth is . The duration of year if the distance between Sun and Earth becomes will be :

EASY
JEE Main
IMPORTANT
The height of any point above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point will be : (Given acceleration due to gravity at the surface of earth).

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JEE Main
IMPORTANT
Two satellites and are revolving in circular orbits around a planet with radius and respectively. The ratio of speed of satellite to the speed of satellite in their respective orbits would be , where
