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The amplitude of vibration of a particle...

The amplitude of vibration of a particle is given by `a_m=(a_0)//(aomega^2-bomega+c)`, where `a_0`, a, b and c are positive. The condition for a single resonant frequency is

A

`b^(2) = 4ac`

B

`b^(2) gt 4ac`

C

`b^(2) = 5ac`

D

`b^(2) = 7ac`

Text Solution

Verified by Experts

The correct Answer is:
A
`a omega^(2) = b omega + c = 0` has 2 roots
For the 2 roots to be same,
determinant = 0
`b^(2) - 4 ac = 0`
`b^(2) = 4ac`
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