AP 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
- A \(\frac{R}{6}\)
- B \(\frac{R}{3}\)
- C \(\frac{2 R}{3}\)
- D \(R\)
Answer & Solution
Correct Answer
(C) \(\frac{2 R}{3}\)
Step-by-step Solution
Detailed explanation
Maximum height attained by a projectile Velocity of body \(=\) half the escape velocity \(v=\frac{v_e}{2}\) \(\begin{aligned} \text{or} \quad v=\frac{\sqrt{2 g R}}{2} \Rightarrow v^2=\frac{2 g R}{4} \\ \text{or} \quad v^2=\left(\frac{g R}{2}\right) \end{aligned}\) Now, putting…
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