22 On vibrating an air column at 627degreecentigrade and a tuning fork simultaneously, 6 beats/sec are heard The frequency of - Physics - Electromagnetic Waves

Question

22 On vibrating an air column at 627degreecentigrade and a tuning
fork simultaneously, 6 beats/sec are heard The frequency of fork is
less than that of air column No beats are heard at -48degree
centigrade The frequency of fork is----------

Jyoti Pant · Accepted Answer

Suppose the frequency of tuning fork is n
Then, the frequency of the air column will be n+6 at 6270C and n at -480C
Using v=nλv627=(n+6) λand v-48=nλSo,v627v-48=(n+6) λnλ=1+6nThe speed of sound is directly proportional to the square root of the absolute temperature
v627v-48=627+273-48+273=900225=3015=2Thus,1+6n=2or 6n=2-1=1or n=6 vibrations/sec

22.On vibrating an air column at 627degreecentigrade and a tuning fork simultaneously, 6 beats/sec are heard.The frequency of fork is less than that of air column.No beats are heard at -48degree centigrade.The frequency of fork is----------