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If a planet of given density were made larger (keeping its density unchanged) its force of attraction for an object on its surface would increased because of increased mass of the plane but would decrease because of larger separation between the centre of the planet and its surface. Which effect would dominate?

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Increase in mass

Increase in radius

Both affect the attraction equally

None of the above

answer is A.

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Detailed Solution

$g = \frac{GM}{R^{2}} \Rightarrow g \propto M, g \propto \frac{1}{R^{2}}$

$M = \frac{4}{3} {πR}^{3} ρ$

As the density is constant, $M \propto R^{3}$
Hence, effect is more due to increase of mass.

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