JEE Mains · Physics · STD 11 - 7. gravitation
Two satellites \(A\) and \(B\) having masses in the ratio \(4: 3\) are revolving in circular orbits of radii \(3\,r\) and \(4\,r\) respectively around the earth. The ratio of total mechanical energy of \(A\) to \(B\) is.
- A \(9: 16\)
- B \(16: 9\)
- C \(1: 1\)
- D \(4: 3\)
Answer & Solution
Correct Answer
(B) \(16: 9\)
Step-by-step Solution
Detailed explanation
Given that \(\frac{m_{1}}{m_{2}}=\frac{4}{3}, \frac{r_{1}}{r_{2}}=\frac{3}{4}\) Now \(T E=\frac{1}{2} mv ^{2}+\left(\frac{- GMm }{ r }\right)\) but \(\frac{ mv ^{2}}{ r }=\frac{ GMm }{ r ^{2}} \Rightarrow mv ^{2}=\frac{ GMm }{ r }\)…
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