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Two organ pipes, each closed at one end,...

Two organ pipes, each closed at one end, give
5 beats `s^(-1)` when emitting their fundamental notes. If
their lengths are in the ratio `50 : 51, ` their fundamental
frequencies are

A

250, 255

B

255, 260

C

260, 265

D

265, 270

Text Solution

Verified by Experts

The correct Answer is:
A
`n_1l_1= n_2l_2 therefore n_1/n_2 = 51/50`
`therefore n_1 = 51/50n_2, n_1-n_2 =5`
`therefore 51/50 n_2 -n_2 = 5`
`n_2 (51-50) = 5xx50=250Hz`
`n_1 = n_2 + 5 =250+5 = 255Hz`
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