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?
A
270 Hz
B
512 Hz
C
488 Hz
D
356 Hz
Verified Correct Answer: A.
Physical Principles & Numerical Solution
f1 = 225Hz, T1 = 225N
f2 = ? T2 = 324N
But f ∝ \sqrtT => f = K\sqrtT
=> K = f/\sqrtT
∴ f1/\sqrtT1 = f2/\sqrtT2
225/\sqrt225 = f2/\sqrt324
f2 =
225\sqrt324
\sqrt225
f2 = 270Hz
Source: Myschool Past Questions Archive (Record #14536)