Q76 / 160 · JIPMER 2014 · Physics

A ball is released from certain height which losses $50 \%$ of its kinetic energy on striking the ground, it will attain a height again

A
$\frac{1}{4}$ th of initial height
Correct answer
B
$\frac{1}{2}$ th of initial height
C
$\frac{3}{4}$ th of initial height
D
None of the above

Solution

Ratio of heights $\frac{h_1}{h_2}=\frac{100}{100-50}=2$ $h_2=\frac{h_1}{2}=\frac{1}{2}$ of the initial height.

Hence, the correct answer is option: 'B'.

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