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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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

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प्रश्न

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.

चूक किंवा बरोबर
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उत्तर

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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पाठ 10: Space Missions - Exercises [पृष्ठ १४४]
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