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 \(R :\) The product of their mass and radius must be same, \(M _{1} R _{1}= M _{2} R _{2}\) In the light of the above statements, choose the most appropriate answer from the options given below

Pick an option to check your answer.

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Answer & Solution

Correct Answer

(B) \(A\) is correct but \(R\) is not correct

Step-by-step Solution

Detailed explanation

\(V _{ e }=\sqrt{\frac{2 GM }{ R }}\)

\(\frac{ M _{1}}{ R _{1}}=\frac{ M _{2}}{ R _{2}}\)

\(M _{1} R _{2}= M _{2} R _{1}\)

Hence reason \(R\) is not correct.

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