MEDIUM
JEE Main/Advance
IMPORTANT
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Identify the incorrect statement about a planet revolving around Sun.

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Important Questions on Gravitation

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 _______.
HARD
JEE Main/Advance
IMPORTANT

A ring of mass M and radius R is fixed and a point mass m is released from rest as shown in figure. If speed of the particle when it reaches the centre of the ring is k-k3GMR, then value of k is ______.

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HARD
JEE Main/Advance
IMPORTANT
A satellite of mass m is moving around earth in an orbit of radius 2R. If amount of energy required to shift it in a orbit of radius 3R is (Mass of the earth is me)  GmemkR, then value of k is ______.
HARD
JEE Main/Advance
IMPORTANT
If speed of planet at apogee in terms of eccentricity e is a is semimajor axis of ellipse) kGM4a1-e1+e, then value of k is ______.
HARD
JEE Main/Advance
IMPORTANT

A uniform solid sphere of mass M is placed touching the uniform rod of mass M and length R. If the rod rotates about the axis AB with angular speed ω0 under the action of gravitational force of sphere, then

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