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  4. The damped harmonic oscillator is represented by the energy-time graph given as

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Q. The damped harmonic oscillator is represented by the energy-time graph given as

NTA AbhyasNTA Abhyas 2020

Solution:

The energy of the damped harmonic oscillator is $E=\frac{1}{2}kA^{2}e^{- b t / m}$ ….(i)
where the symbols have their usual meanings.
Eq. (i) shows that energy of the damped harmonic oscillator decreases exponentially with time. Hence, option $\left(\right.c\left.\right)$ represent the correct graph.