question_answer

The bob of a simple pendulum is displaced from its equilibrium position O to a position Q which is at height h above O and the bob is then released. Assuming the mass of the bob to be m and time period of oscillations to be 2.0 sec, the tension in the string when the bob passes through O is                                                  [AMU 1995]

A)            \[m\,(g+\pi \sqrt{2g\,h})\]    

B)            \[m\,(g+\sqrt{{{\pi }^{2}}g\,h})\]

C)            \[m\,\left( g+\sqrt{\frac{{{\pi }^{2}}}{2}g\,h} \right)\]        

D)            \[m\,\left( g+\sqrt{\frac{{{\pi }^{2}}}{3}g\,h} \right)\]