Question

Write a general statement that describes how the frequency of vibration of a standing wave relates to the number of segments of the standing wave.

Answer 1

v = f *λ

f = v/λ

length of a segement = λ/2 always

now take example

three segment ( suppose total length of rope or pipe = L )

3*λ/2 = L

λ = 2L /3

for for segment

λ = 2L/4

so as we increase the number of segment wavelength is decreasing hence

f = v/λ

so frequency is increasing

so as we increase the number of segment the frequency of vibration of a standing wave increases

****************************************************************************
Goodluck for exam Comment in case any doubt, will reply for sure..