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A satellite is orbiting the Earth in a circular orbit of radius . If the radius of the orbit is increased to , what happens to the orbital speed of the satellite?
- A.It becomes 2 times
- B.It becomes 1/2 times
- C.It becomes 4 times
- D.It becomes 1/4 times
Show correct answer & step-by-step solution
Correct answer: B — It becomes 1/2 times
Solution
- The orbital speed is given by .
- When the radius changes from to , the new speed is .
- This simplifies to .
- Hence the answer is (B).
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