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A length of wire has a frequency of 255Hz when stretched by a force of b225N. If the ...

A length of wire has a frequency of 255Hz when stretched by a force of b225N. If the fore increased to 324N, what is the new frequency of vibration
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  • A 306 Hz
  • B 512 Hz
  • C 488 Hz
  • D 356 Hz
Correct Answer: Option A
Explanation:
f1 = 255Hz, T1 = 225N
f2 = ? T2 = 324N
But f ∝ √T => f = K√T
=> K = f/√T
∴ f1/√T[sub]1[/sub] = f2/√T[sub]2[/sub]225/√225 = f2/√324f2 = 225√225
√225



= 225 x 18
__15




= 306Hz

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