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Q.

A tuning fork of frequency 250 Hz is vibrating at one end of a tube as shown in fig. (6). If maximum sound is heard at the other end, the velocity of wave will be

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a

285 m /s

b

280 m/s

c

180 m/s

d

320 m/s

answer is A.

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Detailed Solution

For maximum sound, the  path difference  Δ Should be equal to λ=v/n= v/ path difference xΔx=Vn  or  V=nΔxFrom figure. Δx=(πr−2r)=(3⋅14×1−2×1)=1⋅14so V=250×1⋅14=285m/s
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