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A length of wire has a frequency of 255Hz when ... - JAMB Physics 2011 Question

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

A
306 Hz
B
512 Hz
C
488 Hz
D
356 Hz
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Correct Option: A

f1 = 255Hz, T1 = 225N

f2 = ? T2 = 324N

But f ∝ √T => f = K√T

=> K = f/√T

f1/√T1 = f2/√T2
225/√225 = f2/√324

f2 = 225√225
√225


= 225 x 18
__15

= 306Hz

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