Gravitation Tes...

The radius of the earth is 6400 km and g = 10 m/sec².In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is

The value of `g\' at a particular point is 9.8 m/s<sup>2</sup>.Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of `g\' at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be

If R is the radius of the earth and g the acceleration dueto gravity on the earth\'s surface, the mean density of the earth is

The radii of two planets are respectively R₁ and R₂ and their densities are respectively ρ₁ and ρ₂. The ratio of the accelerations due to gravity at their surfaces is

Spot the wrong statement :
The acceleration due to gravity y decreases if

A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth\'s surface, the weight indicated by the balance

The value of g on the earth\'s surface is 980 cm/sec². Its value at a height of 64 km from the earth\'s surface is
(Radius of the earth R = 6400 kilometers)

Choose the correct statement from the following :
Weightlessness of an astronaut moving in a satellite is a situation of

If the earth rotates faster than its present speed, the weight of an object will

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