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(D) The escape velocity of a planet is given by $v_e = \sqrt{2gR}$.Since the Moon has a much smaller mass and radius compared to the Earth,its escape

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Both $A$ and $R$ are correct,and $R$ is the correct explanation of $A$.

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(D) The escape velocity of a planet is given by $v_e = \sqrt{2gR}$.Since the Moon has a much smaller mass and radius compared to the Earth,its escape velocity is significantly lower (approx $2.38 \ km/s$) than that of the Earth (approx $11.2 \ km/s$).Because the escape velocity on the Moon is low,the thermal velocity (rms velocity) of gas molecules at the Moon's surface temperature exceeds the escape velocity.Consequently,gas molecules escape from the Moon's gravitational pull,preventing the formation of an atmosphere.Therefore,both Assertion $A$ and Reason $R$ are correct,and $R$ is the correct explanation of $A$.

Similar Questions

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