The total energy of a vibrating particle in S.H.M is E. If it’s amplitude is tripled and time period are doubled, it’s total energy will be

As  E=12mw2A2, mass of oscillator=m, angular velocity=w, Amplitude=AE=12m2πT2A2-----(1)As new time period  T1=2T, new amplitude  A1=3A, substitute in new energy E1∴E1=12m2π2T2×(3A)2E1=12m×142πT2×9A2------(2)From (1) and (2),  E1=94E