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Two organ pipes, closed at one end, when sounded together produce 3 beats/second. If their lengths are in the ratio of 101:100, then the fundamental notes produces by them have the frequencies (in Hz) (a) 100 and 103 (b) 206 and 203 (c) 300 and 303 (d) 400 and 403

Two organ pipes, closed at one end, when sounded together produce 3 beats/second. If their lengths are in the ratio of 101:100, then the fundamental notes produces by them have the frequencies (in Hz)
(a) 100 and 103
(b) 206 and 203
(c) 300 and 303
(d) 400 and 403

Grade:Upto college level

2 Answers

Arun
25750 Points
3 years ago
The ratio of the lengths of the closed organ pipes is equal to the fundamental  notes produced by them.
That is, L1​/L2​=f1​/f2​, since L1​/L2​=100/101
So in (option D) we have f1​/f2​=500/505=100/101.
Hence, the fundamental notes (in Hz.) produced by them are 500, 501.
Vikas TU
14149 Points
3 years ago
The ratio of the lengths of the closed organ pipes is equal to the fundamental  notes produced by them.
L1/L1 = f1/f2 
Since L1/L2 = 100/101
So in (option D) we have f1/f2 = 500/505=100/101.
Hence, the fundamental notes (in Hz.) produced by them are 500, 501.

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