If the frequency of a violin string is to be increased by 20%,what change in tension must be applied?
A)44%
B)20%
C)4.5%
D)10%

Question

Quizplus · Accepted Answer

The frequency of a string is proportional to the square root of the tension. If the frequency is increased by 20%, this means the new frequency is 1.20 times the original frequency. Since frequency is proportional to the square root of tension (f ∝ √T), we have (1.20)^2 = 1.44, indicating the tension must increase by 44% to achieve a 20% increase in frequency.

If the Frequency of a Violin String Is to Be