HARD
JEE Main
IMPORTANT
Earn 100

 Given: radius of Earth 'R' and length of a day 'T', the height of a geostationary satellite is [G=Gravitational constant, M=Mass of earth]
 

Important Questions on Gravitation

HARD
JEE Main
IMPORTANT
Two identical heavy spheres are separated by a distance 10 times their radius. Will an object placed at the mid-point of the line joining their centres be in stable equilibrium or unstable equilibrium? Give reason for your answer.
MEDIUM
JEE Main
IMPORTANT
Is it possible for a body to have inertia but no weight?
MEDIUM
JEE Main
IMPORTANT
As observed from the earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from the earth, this would
MEDIUM
JEE Main
IMPORTANT

A sphere of mass M and radius R2 has a concentric cavity of radius R1 as shown in the figure. The force F exerted by the sphere on a particle of mass m located at a distance r from the centre of sphere varies as (0r)

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EASY
JEE Main
IMPORTANT
Which of the following graphs represents the motion of a planet moving about the sun?
EASY
JEE Main
IMPORTANT

A planet is revolving around the sun as shown in elliptical path

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The correct option is 

EASY
JEE Main
IMPORTANT

A planet is revolving around the sun in an elliptical path as shown in the figure. The orbital velocity of the planet will be minimum at

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EASY
JEE Main
IMPORTANT
Different points in the earth are at slightly different distances from the sun and hence, experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the CM (centre of mass) causing translation and a net torque at the CM causing rotation around an axis through the CM. For the earth sun system (approximating the earth as a uniform density sphere),