Which of the following expressions gives the frequency of the th harmonic ( ) in an…

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Which of the following expressions gives the frequency of the

n

th harmonic (

n = 1,2,3,\dots

) in an air column that is closed at one end and open at the other, where

v

is the speed of sound and

L

is the length of the tube? (a)

f_n = \dfrac{(2n+1)v}{4L}

(b)

f_n = \dfrac{nv}{2L}

(c)

f_n = \dfrac{(2n-1)v}{4L}

(d)

f_n = \dfrac{(2n-1)v}{2L}