A simple pendulum of length ' ' has a bob of mass 'm'. It executes S.H.M. of small amplitude 'A'. The maximum tension in the string is ( g = acceleration due to gravity)

Step-by-step solution

(D) array l y = A t T =2 g 2 T = g = array aligned Tension &=m g + m v² L T_ &=m g+ m v² L =1 &=m g (1+ v² g L ) aligned Now, y=A t aligned & dy dt = A t & . dy dt |_ = A = A g = V _ & V _ ²= A ² g L & T _ = mg (1+ A ² ~g ~L ² ~g )= mg (1+ A ² ~L ² ) aligned