AP EAMCET · PHYSICS · Gravitation
A body is projected vertically from the surface of the earth of radius \(R\) with a velocity equal to half of the escape velocity. The maximum height reached by the body is
- A \(\frac{R}{2}\)
- B \(\frac{R}{3}\)
- C \(\frac{R}{4}\)
- D \(\frac{R}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{R}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } K_f+P_f=K_i+P_i \\ & \mathrm{O}-\frac{G M m}{R+h}=\frac{1}{2} m\left(\frac{V_e}{2}\right)^2-\frac{G M m}{R} \\ & -\frac{G M m}{1}\left[-\frac{1}{R}+\frac{1}{R+h}\right]=\frac{1}{8} m V_e^2\end{aligned}\)…
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