TS EAMCET · Physics · Gravitation
The percentage increase in the energy for an artificial satellite to shift it from an orbit of radius \(r\) to an orbit of radius \(\frac{3 r}{2}\) is
- A \(66.7\)
- B \(50\)
- C \(33.33\)
- D \(25\)
Answer & Solution
Correct Answer
(C) \(33.33\)
Step-by-step Solution
Detailed explanation
Energy of an artificial satellite is given as \[ \mathrm{E}=\frac{\mathrm{GMm}}{2 \mathrm{r}} \] Orbit of radius \(r, E_1=\frac{G M m}{2 r}\) Orbit of radius \(\frac{3 \mathrm{r}}{2}, \frac{\mathrm{GMm}}{2 \times \frac{3}{2} \mathrm{r}}=\frac{\mathrm{GMm}}{3 \mathrm{r}}\)…
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