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Question 1 :
If the mass of the earth increases by $80\%$ and radius of the earth increases by $40\%$ then the percentage charge in acceleration due to gravity on the surface of radius of earth is (where $g_{s}=\dfrac{GM} {R^{2}} ,M=$ mass of earth and $R=$ radius of earth})

Question 2 :
The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity :

Question 3 :
Centripetal force is provided by the real forces acting on the body in motion.<br>

Question 4 :
The Earth does not move towards the Moon because the force exerted by the Earth or the Moon on each other is insufficient to move the Earth on account of its huge mass. This statement is

Question 5 :
Mass $m$ units is divided in two parts X and $(1-X).$ For a given separation the value of $X$ for which the gravitational force between them becomes maximum is :

Question 6 :
If $R$ is the radius of the earth and $g$<i> </i>the acceleration due to gravity on the earth's surface, then mean density of the earth is:

Question 7 :
Consider earth to be a homogeneous sphere , Scientist A goes deep down in a mine&#160;and&#160;scientist B goes high up in a balloon.&#160;The acceleration due to gravity as measured by :&#160;

Question 8 :
The height above the surface of earth at which acceleration due to gravity is half the acceleration due to gravity at surface of earth is ($R = 6.4 \times 10^6 m$)

Question 10 :
If the vectors $\bar { A }&#160; =\ 2\hat { i } +\ 4\hat { j }$ and $\bar { B }&#160; =\ 5\hat { i } -\ p\hat { j } $ are parallel to each other, the magnitude of $\bar { p }&#160;$ is

Question 11 :
A spherical planet, far out in space, has a mass $M_0$ and diameter $D_0$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity which is equal to:

Question 12 :
If the mass of a planet is $10\%$ less than that of the earth and the radius is $20\%$ greater than that of the earth, the acceleration due to gravity on the planet will be.

Question 13 :
If $g_E$ and $g_M$ are the accelerations due to gravity on the surface of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio<br/><br/>$\displaystyle \frac {electronic\ &#160;charge\ &#160;on\ &#160;the\ &#160;moon}{electronic\ &#160;charge\ &#160;on\ &#160;the\ &#160;earth}$to be

Question 15 :
Assertion: If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places. Reason: The value of acceleration due to gravity is independent of rotation of earth.