In an organ pipe whose one end is at x=0, the pressure is expressed by p = p_0 cos (3 π x)/2 sin 3 0 0 π t where x is in meter and t in seconds. The…

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In an organ pipe whose one end is at x=0, the pressure is expressed by p = p_0 cos (3 π x)/2 sin 3 0 0 π t where x is in meter and t in seconds. The organ pipe can be

MARKS Content Team · Accepted Answer

Correct answer: (C) Closed at both ends, length =2 m. For x = λ (3 π x)/2 = 2 π ⇒ λ = 4/3 at x = 0 there is a pressure antinode. So first end must be close and in case of close at bot end l⁡ = (n λ)/2 ⇒ l⁡ = (2 n)/3 for close at one end l⁡ = 2 n + 1 (λ)/4 = (2 n + 1)/3 So for close at one end possible lengths are (2 n + 1)/3 = 1/3 , 1 , 5/3 , 7/3 Open at both ends is not possible for close at both end possible length are (2 n)/3 = 2/3 , 4/3 , 2 , 8/3 ...... so only possibility is (3)

In an organ pipe whose one end is at $x = 0$ , the pressure is expressed by $p = p_{0} cos \frac{3 π x}{2} sin 300 π t$ where x is in meter and $t$ in seconds. The organ pipe can be

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More Waves and Sound Questions

In an organ pipe whose one end is at x=0, the pressure is expressed by p = p 0 cos 3 π x 2 sin 3 0 0 π t where x is in meter and t in seconds. The organ pipe can be

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More Waves and Sound Questions

In an organ pipe whose one end is at $x = 0$ , the pressure is expressed by $p = p_{0} cos \frac{3 π x}{2} sin 300 π t$ where x is in meter and $t$ in seconds. The organ pipe can be