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

Question

The damped harmonic oscillator is represented by the energy-time graph given as (A) Option 1

(B)

(C)

(D)

Tardigrade Admin · Accepted Answer

The energy of the damped harmonic oscillator is

E = \frac{1}{2} k A^{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

(c)

represent the correct graph.

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

The energy of the damped harmonic oscillator is E=21​kA2e−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 (c) represent the correct graph.

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