A) \[\frac{h}{3},\sqrt{\frac{2gh}{3}}\]
B) \[\frac{h}{3},2\sqrt{\frac{gh}{3}}\]
C) \[\frac{2h}{3},\sqrt{\frac{2gh}{3}}\]
D) \[\frac{h}{3},\sqrt{2gh}\]
Correct Answer: B
Solution :
Total mechanical energy\[=mgh\] \[\frac{KE}{PE}=\frac{2}{1}\] \[KE=\frac{2}{3}mgh\]and \[PE=\frac{1}{3}mgh\] Height from the ground at this instant\[h'=\frac{h}{3'}\] and speed of particle at this instant \[v=\sqrt{2g(h-h')}=\sqrt{2g\left( \frac{2h}{3} \right)}\] \[=2\sqrt{\frac{gh}{3}}\]You need to login to perform this action.
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