Question

A violin string emits sound of frequency 510 Hz. How far will the sound waves reach when string completes 250 vibrations? The velocity of sound is 340 m/s.

Answer 1

Given: n = 510 Hz, v = 340 m/s,

number of vibrations = 250

To find: Distance

Formula: v = nλ

Calculation: From formula,

Distance covered in 1 vibration = \(\frac{2}{3}\) m

∴ Distance covered in 250 vibration

= \(\frac{2}{3}\) × 250 = 166.7 m

The distance covered by sound waves is 166.7 m