COMEDK · Physics · 9. Gravitation
A planet is 121 times heavier than moon and has a diameter 9 times that of moon. If the escape velocity on the planet is v , then the escape velocity on the moon will be:
- A \(\dfrac{33 v}{8}\)
- B \(\dfrac{3 v}{11}\)
- C \(\dfrac{8 v}{33}\)
- D \(\dfrac{11 v}{3}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{3 v}{11}\)
Step-by-step Solution
Detailed explanation
The escape velocity \(v_e\) of a body is given by the formula \(v_e = \sqrt{\dfrac{2GM}{R}}\), where \(M\) is the mass and \(R\) is the radius of the body. Let \(M_p\) and \(R_p\) be the mass and radius of the planet, and \(M_m\) and \(R_m\) be the mass and radius of the moon.…
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