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3 particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is

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Important Questions on Gravitation

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JEE Main
IMPORTANT
At what height above the earth's surface does the acceleration due to gravity fall to 1% of its value at the earth's surface?
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JEE Main
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A planet has a mass M1 and radius R1. The value of acceleration due to gravity on its surface is g1. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?
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Imagine a new planet having the same density as that of the earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is g and on the surface of the new planet is g', then
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Figure given below shows a solid sphere of uniform density and radius R. It applies a gravitational force of attraction equal to F1 on a particle placed at A, at distance 2R from the centre of the sphere. When a spherical cavity of radius R2 is made in the cavity as shown, it applies a gravitational force F2 on the same particle placed at A. The ratio F2F1 will be : 

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IMPORTANT
Four particles each of mass m are placed at the vertices of a square of side l. The potential energy of the system is
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JEE Main
IMPORTANT
Let V and E be the gravitational potential and gravitational field at a distance r from the centre of a uniform spherical shell. Consider the following two statements :
(A) The plot of V against r is discontinuous.
(B) The plot of E against r is discontinuous.
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If two identical satellites are at R and 7R away from earth surface, the wrong statement is (R= radius of Earth),
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JEE Main
IMPORTANT
If V is the gravitational potential on the surface of the earth, then what is its value at the centre of the earth?