JAMB - Physics (2011 - No. 44)

A length of wire has a frequency of 225Hz when stretched by a force of 225N. If the force increased to 324N, what is the new frequency of vibration?
270 Hz
512 Hz
488 Hz
356 Hz

Explanation

f1 = 225Hz, T1 = 225N
f2 = ? T2 = 324N
But f ∝ √T => f = K√T
=> K = f/√T
∴ f1/√T1 = f2/√T2
225/√225 = f2/√324

f2 = 225√324
√225

f2 = 270Hz

 

 

 

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