JEE Mains · Physics · STD 11 - 7. gravitation
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
- A Both \(A\) and \(R\) are correct but \(R\) is \(NOT\) the correct explanation of \(A\)
- B \(A\) is correct but \(R\) is not correct
- C Both \(A\) and \(R\) are correct and \(R\) is the correct explanation of \(A\)
- D \(A\) is not correct but \(R\) is correct
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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