Imagine a new planet having the same density as that of earth but its radius is 3 times bigger t...

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Imagine a new planet having the same density as that of earth but its radius is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is \( \mathrm{g} \) and that on the surface of the new planet is \( \mathrm{g}^{\prime} \), then :
(1) \( g^{\prime}=3 g \)
(2) \( g^{\prime}=g / 9 \)
(3) \( \mathrm{g}^{\prime}=9 \mathrm{~g} \)
(4) \( g^{\prime}=27 \mathrm{~g} \)
\( \mathrm{P} \)
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