An experimenter finds that standing waves on a string fixed at both ends occur at 24 Hz and 32 Hz, but at no frequencies in between. Part A What is the fundamental frequency

8 Hz

Explanation:

Given that

Standing wave at one end is 24 Hz

Standing wave at the other end is 32 Hz.

Then the frequency of the standing wave mode of a string having a length, l, is usually given as

f (m) = m (v/2L), where in this case, m could be 1. 2. 3. 4 etc

Also, another formula is given as

f (m) = m. f (1), where f (1) is the fundamental frequency ...

Thus, we could say that

f (m+1) - f (m) = (m + 1). f (1) - m. f (1) = f (1)

And as such,

f (1) = 32 - 24

f (1) = 8 Hz

Then, the fundamental frequency needed is 8 Hz