A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz. (A) What could be the maximum value of the fundamental frequency? (B) If transverse waves can travel on this string at a speed of 40 m s − 1 , what is its length?

Question

Philoid · Accepted Answer

A. 80 Hz B. 25 cm

The wire resonates at 240 Hz and 320 Hz. So, fundamental frequency must be a factor of both of these. So, it is 80 Hz.

Given,

So, L=0.25 m =25 cm

A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz. (A) What could be the maximum value of the fundamental frequency? (B) If transverse waves can travel on this string at a speed of 40 m s−1, what is its length?

A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz. (A) What could be the maximum value of the fundamental frequency? (B) If transverse waves can travel on this string at a speed of 40 m s⁻¹, what is its length?