COMEDK · Physics · 9. Gravitation
Energy required for moving a body of mass \(\mathrm{m}\) from a circular orbit of radius 3R to a higher orbit of radius 4R around the earth is.
- A \(\dfrac{\mathrm{GMm}}{12 \mathrm{R}}\)
- B \(\dfrac{\mathrm{GMm}}{24 \mathrm{R}}\)
- C \(\dfrac{\mathrm{GMm}}{\mathrm{R}}\)
- D \(\dfrac{\mathrm{GMm}}{4 \mathrm{R}}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{\mathrm{GMm}}{24 \mathrm{R}}\)
Step-by-step Solution
Detailed explanation
The total mechanical energy \(E\) of a body of mass \(m\) in a circular orbit of radius \(r\) around the Earth of mass \(M\) is given by the expression \(E = -\dfrac{GMm}{2r}\). The energy in the initial orbit of radius \(r_1 = 3R\) is…
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