A) R/3
B) R/2
C) R/4
D) R/5
Correct Answer: A
Solution :
If body is projected with velocity v \[(v<{{v}_{e}})\]then height up to which it will rise, \[h=\frac{R}{\frac{v_{e}^{2}}{{{v}^{2}}}-1}\] \[v=\frac{{{v}_{e}}}{2}\] (given) \ \[h=\frac{R}{{{\left( \frac{{{v}_{e}}}{{{v}_{e}}/2} \right)}^{2}}-1}=\frac{R}{4-1}=\frac{R}{3}\]
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