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Which of the following figure represents damped harmonic motion

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a
1 & 2
b
2 & 3
c
1,2,3 & 4
d
2 & 4

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detailed solution

Correct option is D

differential equation of damped harmonic oscillator is d2xdt2+2bdxdt+ω2x=0   where x is displacement of oscillator option 2  represents under damped motion, when b2<ω2, here b2-ω2 is imaginary, and amplitude =ae-bt, time period T=2πω2-b2 option 4  represents over damped motion, when b2>ω2, here b2-ω2 is real


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