A) \[\frac{{{t}_{0}}}{2}\]
B) \[\frac{{{t}_{0}}}{\sqrt{2}}\]
C) \[t_{0}^{2}\]
D) \[\frac{1}{t_{0}^{2}}\]
Correct Answer: B
Solution :
We have, \[h=\frac{1}{2}gt_{0}^{2}\] ?(i) Let \[{{t}_{1}}\]be the time taken by the body to reach a / height \[\frac{h}{2}.\]Then \[\frac{h}{2}=\frac{1}{2}gt_{1}^{2}\]\[\Rightarrow \]\[\frac{1}{4}gt_{0}^{2}=\frac{1}{2}gt_{1}^{2}\] [from (i)] \[\Rightarrow \] \[{{t}_{1}}=\frac{{{t}_{0}}}{\sqrt{2}}\]
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