Question

The length of a violin string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.

(1 point)

409.6 cycles per second

512 cycles per second

640 cycles per second

612 cycles per second

Answer 1

Since L varies inversely with f, L = k/f. From 10 = k/512, so k = 5120. For L = 8, f = 5120/8 = 640 cycles per second.

Answer: 640 cycles per second.