wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A cylindrical metal tube has a length of 50 cm and is open at both ends. Find the frequencies between 1 kHz to 2 kHz at which the air column in the tube resonates. The temperature on that day is 20 C.
[Take v0=330 m/s]

A
1020,11360,1700 Hz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1026,1368,1710 Hz
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1328,1660,1922 Hz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1026,1368,1710 Hz
As per the question we have
fn=nv2L
Also, v(T)=v01+T273
v=3301+20273=330293273=342 ms1
fn=342n2L=342n2×50×102 Hz
Thus, wavelengths allowed between 1000 Hz and 2000 Hz are for n=3,4,5, so, the values are
1026 Hz, 1368 Hz, 1710 Hz.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Standing Longitudinal Waves
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon