HARD
JEE Main/Advance
IMPORTANT
Earn 100

Consider a ring where linear mass density λ varies with θ as λ=λ0cosθλ0>0. The gravitational field at point O will be

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Important Questions on Gravitation

HARD
JEE Main/Advance
IMPORTANT

Consider the arrangement shown in figure. A thin rod (mass M and length 4R ) and a sphere of equal mass M and radius R are located as shown in figure. The centre of the sphere being at a distance 2R from the centre of the rod on its perpendicular bisector. Assume that the system of rod and sphere is in gravity free space. Find the force acting on the rod due to sphere.

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HARD
JEE Main/Advance
IMPORTANT
Two mutually perpendicular long wires having linear mass density λ1 and λ2 are located in air. Distance between the wires is a, then the force of attraction between the two wires will be
(Guniversal gravitational constant)
HARD
JEE Main/Advance
IMPORTANT
A satellite of mass m is revolving around the earth in a circular orbit of certain radius. At certain point of its orbit, the direction of motion of satellite is suddenly changed by angle α(Given cosα=35) by turning its velocity vector, such that speed remains constant. The satellite, consequently goes to elliptical orbit around earth. Find ratio of speed at apogee to speed at perigee.
HARD
JEE Main/Advance
IMPORTANT

A planet is revolving around the sun S in an elliptical path with semi-major and semi-minor axes as a and b respectively. If time for one complete revolution is T, then time taken by planet to move from point A to B as shown in figure, will be

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EASY
JEE Main/Advance
IMPORTANT
Choose the correct statement about gravitational force.
MEDIUM
JEE Main/Advance
IMPORTANT
Mark the incorrect statement about gravitational potential.
HARD
JEE Main/Advance
IMPORTANT
A satellite is revolving around the earth in a circular orbit at a height R2 from the surface of the earth. Which of the following are correct statements about it, (M= Mass of earth, R= Radius of earth, m= Mass of satellite)?
MEDIUM
JEE Main/Advance
IMPORTANT
If Earth and Jupiter both are orbiting around Sun in same orbit, then they have same (at a particular point)