Question

Which of the following energy-time graphs represents damped harmonic oscillator?

• A.
• B.
• C.
• D.

Answer 1

Answer: (C)

Answer 2

The energy of the damped harmonic oscillator is

$E = \frac{1}{2}kA^{2}e^{- bt/m}$ ….. (i)

Where the symbols have their usual meanings

Eq. (i) shows that energy of the damped harmonic oscillator decreases exponentially with time hence option (3) represents the correct graph.