Question

What is the fundamental frequency of a particular medium ?

Answer 1

From my research, the question has the following choices:

a.the lowest frequency at which a standing wave is possible
b. the highest frequency at which s standing wave is possiblec. the only frequency at which a standing wave is possible
d. the only frequency at which standing wave is not possible

From there, the correct answer is A.

Answer 2

Answer:

This is the minimum possible frequency generated by the given medium

Explanation:

Let say the medium through which sound is produced is a hollow pipe closed at one end

Now at minimum possible situation the wave that will form in it will be of quarter length so we can say

$L = \frac{\lambda}{4}$

so we have

$\lambda = 4L$

now we will have

$f = \frac{v}{\lambda}$

so fundamental frequency of closed pipe will be

$f = \frac{v}{4L}$

similarly if pipe is closed then in that case the wavelength will be half inside the pipe

$L = \frac{\lambda}{2}$

now we have

$f = \frac{v}{2L}$

in this way we can say it is the minimum frequency of sound produced by the source