Given below are two statements : one is labelled as Assertion A and the other is labelled as reason R.
Question:
Given below are two statements : one is labelled as Assertion A and the other is labelled as reason $R$.
Assertion $A$ : The escape velocities of planet $A$ and $B$ are same. But $A$ and $B$ are of unequal mass.
Reason $\mathrm{R}$ : The product of their mass and radius must be same. $\mathrm{M}_{1} \mathrm{R}_{1}=\mathrm{M}_{2} \mathrm{R}_{2}$ In the light of the above statements, choose the most appropriate answer from the options given below:
Correct Option: , 2
Solution:
(2)
$\mathrm{V}_{\mathrm{e}}=$ escape velocity
$v_{e}=\sqrt{\frac{2 G M}{R}}$
so for same $v_{e r} \frac{M_{1}}{R_{1}}=\frac{M_{2}}{R_{2}}$
$A$ is true but $R$ is false