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The angular speed of the earth in , so that the object on equator may appear weightlessness, is (radius of earth )
(a)
(b)
(c)
(d)
(e)

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Important Questions on Gravitation
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The weight of a body at the centre of the earth is

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If the change in the value of at a height above the surface of the earth is the same as at a depth below it (both and are much smaller than the radius of the earth), then

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The rotation of the earth having radius about its axis speeds up to a value such that a man at latitude angle feels weightlessness. The duration of the day in such a case is

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IMPORTANT
The gravitational force between a point mass and separated by a distance is . Now, if a point mass is placed next to in contact with it, the force on due to and the total force on are

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JEE Main
IMPORTANT
The weights of an object in a coal mine, at sea level and at top of mountains are and respectively, then

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When a body is taken from the equator to the poles, its weight

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If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be

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JEE Main
IMPORTANT
The diameters of two planets are in the ratio and their mean densities in the ratio . The acceleration due to gravity on the planets will be in the ratio
