If the potential energy of a harmonic oscillator of mass 2 kg on its equilibrium position is 5 joules and the total energy is 9 joules. If the amplitude is one meter then period of the oscillator (in s) is:
Options

Question

If the potential energy of a harmonic oscillator of mass 2 kg on its equilibrium position is 5 joules and the total energy is 9 joules. If the amplitude is one meter then period of the oscillator (in s) is:

Options

G1 Physics · Accepted Answer

At equilibrium the oscillator has baseline potential 5 J; total energy is 9 J, so oscillation energy is 4 J. At amplitude A=1 m, 4=(1/2)kA² ⇒ k=8 N m⁻¹. With m=2 kg, T=2π√(m/k)=2π√(2/8)=π≈3.14 s. Correct answer: B.