Question

A guitar string is fixed at both ends. If you tighten it to increase its tension, the frequencies of its normal modes will increase but its wavelengths will not be affected.
A. True
B. False

Answer 1

Answer:True

Explanation:

We know that frequency in a tight string is given by

$\nu =\sqrt{\frac{T}{\mu }}$

where $\nu =Frequency\ of\ sound\ waves$

$T=Tension$

$\mu =mass\ per\ unit\ length$

and velocity is given by

$v=\nu \lambda$

As $\nu$ increases v also increase but wavelength $(\lambda)$ remain same because ends of string are fixed.