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State with Reasons 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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प्रश्न

State with reasons whether the sentence is  true or false .

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

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उत्तर

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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अध्याय 10: Space Missions - Exercises [पृष्ठ १४४]

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बालभारती Science and Technology 1 [English] Standard 10 Maharashtra State Board
अध्याय 10 Space Missions
Exercises | Q 2.2 | पृष्ठ १४४
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