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TS EAMCET · Physics · Gravitation

A planet is moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun (i) is zero in no part of the motion. (ii) is zero in some parts of the orbit. (iii) is zero in one complete revolution. (iv) is zero in any small part of the orbit. Which of the following is true?

  1. A Only (iii) is true
  2. B (ii), (iii) and (iv) are true
  3. C (ii) and (iii) are true
  4. D Only (i) is true
Verified Solution

Answer & Solution

Correct Answer

(B) (ii), (iii) and (iv) are true

Step-by-step Solution

Detailed explanation

Gravitational force is a conservative force, hence work done in a complete cycle will be zero due to zero displacement. Again, since, work done, \(W=\mathbf{F} \cdot d \mathbf{r}=m \mathbf{a} \cdot d \mathbf{r}\) If \(\mathbf{a} \perp d \mathbf{r}\), then \(W=0\) Clearly, the…
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