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Question: Two organ pipes, each closed at one end, gives 5 beats per sec, when emitting their fundamental note...

Two organ pipes, each closed at one end, gives 5 beats per sec, when emitting their fundamental notes. If their lengths are in the ratio of 50 : 51, , their fundamental frequencies (in Hz) are –

A

250, 255

B

255, 260

C

260, 265

D

265, 270

Answer

250, 255

Explanation

Solution

N µ 151\frac { 1 } { 51 } = 5051\frac { 50 } { 51 }

N + 5 µ 150\frac { 1 } { 50 }

N = 250 Hz

\ N + 5 = 255 Hz