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Maharashtra State BoardSSC (English Medium) 10th Standard

State with reason whether the sentence is true or false. The escape velocity on the moon is less than that on the earth. - Science and Technology 1

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Questions

State with reason whether the sentence is true or false.

The escape velocity on the moon is less than that on the earth.

State true or false:

The escape velocity on the moon is less than that on the earth.

True or False
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Solution

The statement is true.

Reason:

Escape velocity on a planet is given as:

\[v_{ \text{esc} } = \sqrt{\frac{2GM}{R}} = \sqrt{2gR}\]
Since, acceleration due to gravity on Moon is one-sixth of that on Earth, thus the escape velocity on the Moon is less than that on the Earth. Hence, the statement is true.
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Chapter 10: Space Missions - Exercises [Page 144]
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