Questions in gravitation

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The value of ‘g’ at a particular point is $9.8\,m/{s^2}$. 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 due to gravity on the earth's surface, the mean density of the earth is
The weight of an object in the coal mine, sea level, at the top of the mountain are ${W_1},\;{W_2}$ and ${W_3}$ respectively, then
The radii of two planets are respectively ${R_1}$ and ${R_2}$ and their densities are respectively ${\rho _1}$ and ${\rho _2}$. The ratio of the accelerations due to gravity at their surfaces is
The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the acceleration due to gravity at the surface of the moon to that at the surface of the earth is
Spot the wrong statement : The acceleration due to gravity ‘g’ decreases if
Which of the following statements is true
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 $980\,cm/{\sec ^2}$. Its value at a height of 64 km from the earth's surface is
Choose the correct statement from the following : Weightlessness of an astronaut moving in a satellite is a situation of

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