A) \[ev/g\]
B) \[{{e}^{2}}v/g\]
C) \[{{e}^{2}}\sqrt{\left( \frac{8h}{g} \right)}\]
D) \[{{e}^{2}}\sqrt{\left( \frac{h}{g} \right)}\]
Correct Answer: C
Solution :
The first impact occurs after time\[t=\sqrt{\left( \frac{2h}{g} \right)}\] The second impact occurs after an additional time\[=2\sqrt{\frac{2{{h}_{1}}}{g}}=2e\sqrt{\frac{2h}{g}}\] \[\therefore \]The third impact occurs after an additional time\[=2\sqrt{\frac{2{{h}_{2}}}{g}}=2{{e}^{2}}\sqrt{\frac{2h}{g}}={{e}^{2}}\sqrt{\frac{8h}{g}}\]
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