MEDIUM
JEE Main
IMPORTANT
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The angular speed of the earth in rad s-1, so that the object on equator may appear weightlessness, is (radius of earth =6400 km)

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Important Questions on Gravitation

EASY
JEE Main
IMPORTANT
The weight of a body at the centre of the earth is
MEDIUM
JEE Main
IMPORTANT
If the change in the value of g at a height h above the surface of the earth is the same as at a depth d below it (both h and d are much smaller than the radius of the earth), then
MEDIUM
JEE Main
IMPORTANT
The rotation of the earth having radius R about its axis speeds up to a value such that a man at latitude angle 60° feels weightlessness. The duration of the day in such a case is
EASY
JEE Main
IMPORTANT
The gravitational force between a point mass m and M separated by a distance is F. Now, if a point mass 2m is placed next to m in contact with it, the force on M due to m and the total force on M are
EASY
JEE Main
IMPORTANT
The weights of an object in a coal mine, at sea level and at top of mountains are w1,w2 and w3 respectively, then
EASY
JEE Main
IMPORTANT
When a body is taken from the equator to the poles, its weight
EASY
JEE Main
IMPORTANT
If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be
EASY
JEE Main
IMPORTANT
The diameters of two planets are in the ratio 4:1 and their mean densities in the ratio 1:2. The acceleration due to gravity on the planets will be in the ratio