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PhysicsEMI/ACDamped SHM and forced oscillationsHard2 minPYQ_2013
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:
A
Solution:

A=A0 e-bt2m

After 5 second

0.9 A 0 = A 0  e - b 5 2 m ...... (i)

After 10 more second

A = A 0  e - b 1 5 2 m ...... (ii)

From (i) and (ii)

A = 0.729 A 0

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Damped SHM and forced oscillations
2mℹ️ Source: PYQ_2013

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