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Question

An exoplanet having equal mass and radius one-third of the Earth is discovered by the scientists. Calculate the value of acceleration due to gravity on that exoplanet, if its value on Earth is 'g'.

A
3g
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B
9g
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C
g3
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D
g9
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Solution

The correct option is B 9g
Given: Acceleration due to gravity on Earth = g
Let mass and radius of Earth be 'M' and 'R', respectively, then
Mass of exoplanet = M
Radius of exoplanet = R3

Now,
gearth = GMR2
gexoplanet= GM(R/3)2
Thus,
gexoplanet = 9GMR2
gexoplanet = gearth = 9 g

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