QJEEM24Ph4574: JEE Main 2024 Physics - Class 11 JEEM24Ph4574 Solution: The mass of the moon is 1 144 times the mass of a planet and…

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QJEEM24Ph4574: JEE Main 2024 Physics - Class 11 JEEM24Ph4574 Solution: The mass of the moon is 1 144 times the mass of a planet and…

The mass of the moon is $\frac{1}{144}$ times the mass of a planet and its diameter is $\frac{1}{16}$ times the diameter of a planet. If the escape velocity on the planet is $v$ , the escape velocity on the moon will be :

Multiple Choice Options

A v4
B v6
C V12
D v3

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Accepted Answer

$\begin{aligned} V_{escape} = \sqrt{\frac{2 GM}{R}} \\ V_{planet} = \sqrt{\frac{2 GM}{R}} = V \\ V_{Moon} = \sqrt{\frac{2 GM \times 16}{144 R}} = \frac{1}{3} \sqrt{\frac{2 GM}{R}} \\ V_{Moon} = \frac{V_{Planet}}{3} = \frac{V}{3} \end{aligned}$

QJEEM24Ph4574: JEE Main 2024 Physics - Class 11 JEEM24Ph4574 Solution: The mass of the moon is 1 144 times the mass of a planet and…

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