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Question
Figure shows three different modes of vibration of a string.
What is the ratio of frequency between (a) and (c)?
Options
3 : 1
2 : 1
1 : 2
1 : 3
MCQ
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Solution
3 : 1
Explanation:
For a stretched string, frequency is proportional to the number of loops or antinodes.
- Mode I has 3 loops → third harmonic
- Mode III has 1 loop → fundamental mode
∴ \[ f_I:f_{III} = 3:1 \]
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