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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousHard2 minQB

PhysicsHardsingle choice

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to $α$ times its original magnitude, where $α$ equals :

Options:

Answer:

Solution:

$A = A_{0} e^{- \frac{bt}{2 m}}$ After 5 second

$0.9 A_{0} = A_{0} e^{- \frac{b ( 5 )}{2 m}}$ ...... (i) After 10 more second

$A = A_{0} e^{- \frac{b ( 15 )}{2 m}}$ ...... (ii) From (i) and (ii)

$\mathrm{A} = \text{0}.\text{729 \mathrm{A}}_{0}$

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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