An object of mass $m$ is projected with a momentum $p$ at such an angle that its maximum height is $\frac{1}{4}$ th of its horizontal range. Its minimum kinetic energy in its path will be
An object of mass $m$ is projected with a momentum $p$ at such an angle that its maximum height is $\frac{1}{4}$ th of its horizontal range. Its minimum kinetic energy in its path will be
- A
$\frac{p^2}{8\,m}$
- B
$\frac{p^2}{4\,m}$
- C
$\frac{3 p^2}{4\,m}$
- D
$\frac{p^2}{m}$
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- [AIPMT 2008]
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