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TS EAMCET · Physics · Gravitation

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

  1. A \(\frac{R}{6}\)
  2. B \(\frac{R}{3}\)
  3. C \(\frac{2 R}{3}\)
  4. D \(R\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{2 R}{3}\)

Step-by-step Solution

Detailed explanation

Maximum height attained by a projectile \(h=\frac{v^2 R}{2 g R-v^2}\) Velocity of body \(=\) half the escape velocity \(v=\frac{v_e}{2}\)…
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