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  4. If the mass of a planet is 10 % less than that of the Earth and the radius 20 % greater than that of the Earth, the acceleration due to gravity on the planet will be

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

Gravitation

Solution:

$g=\frac{G M}{R^{2}}$
$g^{\prime}=\frac{G\left(\frac{90}{100} M\right)}{\left(\frac{120}{100} R\right)^{2}}=\left(\frac{0.9}{1.2^{2}}\right) \frac{G M}{R^{2}}=\frac{5}{8} g$