Wave Motion 2 Question 19
19. A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of is suspended from the wire. When this mass is replaced by mass . The wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of is
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 19. (a)
Solution:
- Let
frequency of tuning fork
Then,
Solving this, we get
In the first case, frequency corresponds to fifth harmonic while in the second case it corresponds to third harmonic.