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AP EAMCET · PHYSICS · Gravitation

A body is projected vertically upwards from the surface of a planet of radius \(R\) with a velocity equal to half the escape velocity of that planet. Then, the maximum height attained by the body is

  1. A \(\frac{R}{3}\)
  2. B \(\frac{R}{2}\)
  3. C \(\frac{R}{4}\)
  4. D \(\frac{R}{5}\)
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Answer & Solution

Correct Answer

(A) \(\frac{R}{3}\)

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Detailed explanation

If a body is projected vertically upwards with a velocity of \(v\) from the surface of planet, then maximum height attained by the body is \(h=\frac{v^2 R}{2 g R-v^2}\) ...(i) But given that,…
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