A string of mass per unit length `mu` is clamped at both ends such that one end of the string is at x = 0 and the other is at `x =l`. When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

Options

A. `(pi^(2)a^(2)T)/(4L)`
B. `(piaT)/(2L)`
C. `-(pi_(2)a_(2)T)/(3L)`
D. `(pi^(2)aT)/(6L)`

Answer

A