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The amplitude of vibration of particle is given by  where a0, a, b and c are positive. The condition for single resonant frequency will be
  • a)
    b2 > 4ac
  • b)
    b2 < 4ab
  • c)
    b2 = 4ac
  • d)
    Both (A) and (B)
Correct answer is option 'C'. Can you explain this answer?
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The amplitude of vibration of particle is given bywhere a0, a, b and c...




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Most Upvoted Answer
The amplitude of vibration of particle is given bywhere a0, a, b and c...
For resonance condition ,the amplitude must be maximum
so the denominator expression must be zero
aw^2 - bw + c = 0

so w= b+/- (b^2 - 4ac)^1/2
divided by
2a
so for single resonance frequency , (b^2 - 4ac)= 0

hence : b^2 = 4ac
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The amplitude of vibration of particle is given bywhere a0, a, b and c arepositive. The condition for single resonant frequency will bea)b2 > 4acb)b2 < 4abc)b2 = 4acd)Both (A) and (B)Correct answer is option 'C'. Can you explain this answer?
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