At a place, the length of the oscillating simple pendulum is made 1 4 times keeping amplitude same then the total energy will be

Step-by-step solution

The total energy for a simple pendulum in harmonic motion is E = 1 2 m ^2 A^2 with angular frequency = g L . Substituting gives E = 1 2 m g L A^2 . For initial length L₁ , the energy is E₁ = 1 2 m g L₁ A^2 . When the length becomes L₂ = 1 4 L₁ with amplitude unchanged, the new energy becomes E₂ = 1 2 m g 1 4 L₁ A^2 = 4 ( 1 2 m g L₁ A^2 ) = 4 E₁ The total energy increases by a factor of 4. Final answer: B