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

Some of the frequencies of tones produced by an organ pipe are 220,440,550,660Hz. Find the effective length of the pipe. (take, the speed of sound in air=330m/s)


A

1.8m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

1.7m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

1.5m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

1.2m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

1.5m


Step 1: Given Data:

Frequencies produced by an organ pipe=220,440,550,660Hz

The speed of sound in air=330m/s

Step 2: Formula Used:

Lengthofpipel=12Speedofairvfundamentalfrequencyv0

Step 3: Calculating the length of the pipe:

As we can see these are all the multiples of 110

Therefore, the fundamental frequency is 110

Now calculating the length of the pipe,

Lengthofpipel=12Speedofairvfundamentalfrequencyv0=12·330110=1.5m

Thus, the effective length of the pipe is 1.5m

Hence option (c) is correct.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Building a Wave
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon