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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A pendulum with the time period of $1 s$ is losing energy due to damping. At a certain time, its energy is $45 J$ . If after completing $15$ oscillations its energy has become $15 J$ , then its damping constant (in $s^{- 1}$ ) will be

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Answer:

Solution:

Energy of a damping oscillator is $E = E_{0} e^{-2 γ t}$ at time $t$ where $γ =$ damping constant

${E'}^{} = E_{o} e^{- 2 γ t}$

$15 = 45 e^{- 2 γ (15)}$

$γ = \frac{1}{30} l n (3)$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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