A length of a violin string varies inversely with respect to the frequency of its vibrations. The frequency of a 14-inch-long violin string is 450 cycles per second. Find the frequency of a 12-inch violin string.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 525 cycles per second.
Since length (L) varies inversely with frequency (f):
L × f = constant
Given: 14 × 450 = 12 × f
=> 6300 = 12f
=> f = 6300 ÷ 12 = 525