HARD
JEE Main/Advance
IMPORTANT
Earn 100

Inside an isolated uniform spherical shell:

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Important Questions on Gravitation

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JEE Main/Advance
IMPORTANT
Which of the following statements are correct about a planet rotating around the sun in an elliptic orbit: 
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JEE Main/Advance
IMPORTANT
A tunnel is dug along a chord of the earth at a perpendicular distance R2 from the earth’s centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall and the acceleration of the particle varies with x (distance of the particle from the centre) according to:
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JEE Main/Advance
IMPORTANT
A planet revolving around sun in an elliptical orbit has a constant
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JEE Main/Advance
IMPORTANT
A satellite close to the earth is in orbit above the equator with a period of revolution of 1.5 h. If it is above a point P on the equator at some time, it will be above P again after time
HARD
JEE Main/Advance
IMPORTANT
An object is weighed at the equator by a beam balance and a spring balance, giving readings Wb and Ws, respectively. It is again weighed in the same manner at the north pole giving readings of Wb' and Ws', respectively. Assume that intensity of earth gravitational field is the same every where on the earth’s surface and that the balances are quite sensitive.
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JEE Main/Advance
IMPORTANT
If a body is projected with speed lesser than escape velocity:
HARD
JEE Main/Advance
IMPORTANT
A double star is a system of two stars of masses m and 2m, rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to 
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JEE Main/Advance
IMPORTANT
An orbiting satellite in circular orbit will escape if: