Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Earth has atmosphere and moon doesn’t
Reason (R): escape speed on moon is less than that of Earth.
In the light of the above statements, choose the correct answer from the options given below:

• (A) and (R) are correct and (R) is the correct explanation of (A)
• (A) and (R) are correct and (R) is not the correct explanation of (A)
• (A) is true but (R) is false
• (A) and (R) both are false

Answer 1

The Correct Option is A

The correct option is (A): (A) and (R) are correct and (R) is the correct explanation of (A)

\(V_{esc}=\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2G}{R}\times \frac{\rho 4}{3}\pi R^{3}}\)
\(V_{esc}\propto R\)
As the moon's radius is very small as compared to earth. \(V_{esc}\) at the moon is quite low and the gas molecules attains escape velocity at normal temperature on the moon.