Question
Medium
Solving time: 5 mins
In a resonance column experiment, a tuning fork of frequency 400 Hz is used. The first resonance is observed when the air column has a length of 20.0 cm and the second resonance is observed when the air column has a length of 62.0 cm.
(a) Find the speed of sound in air.
(b) How much distance above the open end does the pressure node form?
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Text solutionVerified
Given:
Length of air column at first resonance = 20 cm = 0.2 m
Length of air column at second resonance = 62 cm = 0.62 m
Frequency of tuning fork f = 400 Hz
(a) We know that
:
v = λf,where v is the speed of the sound in air.
So,
Therefore, the speed of the sound in air is 336 m/s.
(b) Distance of open node is d :
Therefore, the required distance is 1 cm.
Length of air column at first resonance = 20 cm = 0.2 m
Length of air column at second resonance = 62 cm = 0.62 m
Frequency of tuning fork f = 400 Hz
(a) We know that
:
v = λf,where v is the speed of the sound in air.
So,
Therefore, the speed of the sound in air is 336 m/s.
(b) Distance of open node is d :
Therefore, the required distance is 1 cm.
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Question Text | In a resonance column experiment, a tuning fork of frequency 400 Hz is used. The first resonance is observed when the air column has a length of 20.0 cm and the second resonance is observed when the air column has a length of 62.0 cm. (a) Find the speed of sound in air. (b) How much distance above the open end does the pressure node form? |
Updated On | May 28, 2022 |
Topic | Waves |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 9 |
Upvotes | 858 |
Avg. Video Duration | 4 min |