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Q.

A wave of frequency 200 Hz  is sent along a string towards a fixed end.  When this wave travels back then after reflection, a node is formed at a minimum distance of 5 cm from the fixed end of the string.  The speed  of the incident wave is

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a

20 m/s

b

10 m/s

c

40 m/s

d

5 m/s

answer is A.

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Detailed Solution

Frequency n=200 Hz Length l=5 cm As   l=λ2 5=λ2 λ=10 cm v=nλ =200×10 =2000 cm/s =20 m/s
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A wave of frequency 200 Hz  is sent along a string towards a fixed end.  When this wave travels back then after reflection, a node is formed at a minimum distance of 5 cm from the fixed end of the string.  The speed  of the incident wave is