A) \[3.14\sec \]
B) \[16.28\sec \]
C) \[1.57\sec \]
D) none of these
Correct Answer: A
Solution :
Here: Time\[t=2\sec \], height\[h=8m\] Initial velocity\[v=0\] Length of pendulum\[=1m\] Relation for the height is given by, \[h=ut+\frac{1}{2}g{{t}^{2}}\] \[8=0\times 2+\frac{1}{2}g\times {{2}^{2}}=2\,\,g\] \[2g=8\]or\[g=4m/{{s}^{2}}\] Hence, the time period \[T\] is given by, \[=2\pi \sqrt{\frac{l}{g}}=2\pi \sqrt{\frac{1}{4}}=\pi \]
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