Wave Mechanics Vibration Of String Question 23

Question: A second harmonic has to be generated in a string of length $ l $ stretched between two rigid supports. The point where the string has to be plucked and touched are

[KCET 2001]

Options:

A) Plucked at $ \frac{l}{4} $ and touch at $ \frac{l}{2} $

B) Plucked at $ \frac{l}{4} $ and touch at $ \frac{3l}{4} $

C) Plucked at $ \frac{l}{2} $ and touched at $ \frac{l}{4} $

D) Plucked at $ \frac{l}{2} $ and touched at $ \frac{3l}{4} $

Show Answer

Answer:

Correct Answer: A

Solution:

Second harmonic means 2 loops in a total length Hence plucking distance from one end $ =\frac{l}{2p}=\frac{l}{2\times 2}=\frac{l}{4}.

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