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Two identical satellites are at the heights R and 7R from the earth’s surface. Then which of the following statement is incorrect: (R=Radius of the earth)

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Important Questions on Gravitation

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JEE Main/Advance
IMPORTANT
A satellite is seen in 8 hours gap over the equator at a place on the earth when its sense of rotation is opposite to the earth. The time interval after which it can be seen at the same place when the sense of rotation of earth and satellite is same will be,
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A hollow spherical shell is compressed to half its radius. The gravitational potential at the centre
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JEE Main/Advance
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Spaceman Fred's spaceship (which has negligible mass) is in an elliptical orbit about Planet Bob. The minimum distance between the spaceship and the planet is R; the maximum distance between the spaceship and the planet is 2R. At the point of maximum distance, Spaceman Fred is traveling at speed v0. He then fires his thrusters so that he enters a circular orbit of radius 2R. What is his new speed?

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IMPORTANT

Assuming potential energy 'U' at ground level to be zero.

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All objects are made up of same material:-

UP=Potential energy of solid sphere

UQ=Potential energy of solid cube

UR=Potential energy of solid cone

US=Potential energy of solid cylinder

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IMPORTANT
One projectile after deviating from its path starts moving round the Earth in a circular path of radius equal to nine times the radius of Earth R. Its time period will be :-
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IMPORTANT
Gravitational potential difference between surface of a planet and a point situated at height of  20 m above its surface is 2 joule kg-1. If gravitational field is uniform, then the work done in taking a 5 kg body of height 4 m above  surface will be :
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Two concentric shells of masses M1 and M2 are having radii r1 and r2. Which of the following given below is the right expression for the gravitational field at a distance r is

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JEE Main/Advance
IMPORTANT
In a certain region of space, the gravitational field is given by -kr, where r is the distance and k is a constant. If the gravitational potential at r=r0 be V0, then what is the expression for the gravitational potential V:-