Question:
Moon has no atmosphere.
The escape velocity for moon is less than that for earth.
Moon has no atmosphere.
The escape velocity for moon is less than that for earth.
Updated On: Jul 6, 2022
- If both assertion and reason are true and reason is the correct explanation of assertion
- If both assertion and reason are true but reason is not the correct explanation of assertion
- If assertion is true but reason is false
- If both assertion and reason are false
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The Correct Option is A
Solution and Explanation
The escape velocity for earth is $11.2\, km \,s^{-1}$. The escape velocity for moon is $2.3 \,kms^{-1}$. Gas molecules if formed on the surface of the moon have velocities larger than this and will escape the gravitational pull of the moon.
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].