MEDIUM
JEE Main/Advance
IMPORTANT
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E,U and K represent total mechanical energy, potential energy and kinetic energy of a satellite revolving around a planet. Which of the following quantity is not independent of orbital radius of the satellite?

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Important Questions on Gravitation

MEDIUM
JEE Main/Advance
IMPORTANT
If v0 be the orbital velocity of an artificial satellite orbiting just above the earth's surface, then the orbital velocity of the same satellite orbiting at an altitude equal to earth's radius is
MEDIUM
JEE Main/Advance
IMPORTANT
The period of revolution of a satellite orbiting Earth at a height 4R above the surface of Earth is x hrs, where R is the radius of earth. The period of another satellite at a height 1.5R from the surface of the Earth is
HARD
JEE Main/Advance
IMPORTANT
A particle is projected vertically upward with velocity 23GMR from the surface of Earth. The height attained by it is (G, M, R have usual meanings)
MEDIUM
JEE Main/Advance
IMPORTANT
Identify the incorrect statement about a planet revolving around Sun.
HARD
JEE Main/Advance
IMPORTANT
Suppose a tunnel is made in earth which passes, through its centre. If an object is dropped from height R2 from earth surface above the tunnel. If its speed at depth R2 from earth surface in tunnel is NGM12R, then value of N is (Given M is mass of earth and R is radius of earth).
HARD
JEE Main/Advance
IMPORTANT
Six stars of equal masses M are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. If their time period of motion is 2πN3a3GM53+N then value of N is ____.
HARD
JEE Main/Advance
IMPORTANT

A planet is revolving around the sun in an elliptical orbit. If the speed of planet at shown position P (M:Mass of Sun) is kGM2a, then value of k is ______.

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EASY
JEE Main/Advance
IMPORTANT
If height from the earth's surface, where weight of a man decreases by 10% (R is the radius of earth) is Ng-1R, then value of N is _______.