54-In forced oscillation of a particle the amplitude is maximum for a frequency W1- while the energy is maximum for a frequency W2of the force then -

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Standard X

Physics

Forced Oscillations

54.In forced ...

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54.In forced oscillation of a particle the amplitude is maximum for a frequency W₁, while the energy is maximum for a frequency W₂of the force then ------------------

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Solution

$F o r a m p l i t u d e o f o s c i l l a t i o n a n d e n e r g y t o b e m a x i m u m, f r e q u e n c y o f f o r c e m u s t b e e q u a l t o n a t u r a l f r e q u e n c y o f s y s t e m a n d t h i s i s t h e c o n d i t i o n o f R e s o n a n c e, t h e r e f o r e ω_{1} = ω_{2}$

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54.In forced oscillation of a particle the amplitude is maximum for a frequency W1, while the energy is maximum for a frequency W2of the force then ------------------

For amplitude of oscillation and energy to be maximum, frequency of force must be equal to natural frequency of system and this is the condition of Resonance,thereforeω1=ω2

54.In forced oscillation of a particle the amplitude is maximum for a frequency W₁, while the energy is maximum for a frequency W₂of the force then ------------------

$F o r a m p l i t u d e o f o s c i l l a t i o n a n d e n e r g y t o b e m a x i m u m, f r e q u e n c y o f f o r c e m u s t b e e q u a l t o n a t u r a l f r e q u e n c y o f s y s t e m a n d t h i s i s t h e c o n d i t i o n o f R e s o n a n c e, t h e r e f o r e ω_{1} = ω_{2}$