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Question

# For a certain organ pipe, three successive resonance, frequencies are observed at 425,595 and 765Hz respectively. Taking the speed of sound in air to be 340m/s the fundamental frequency of the pipe (in Hz) is

A
425
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B
170
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C
85
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D
245
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Solution

## The correct option is C 85should take ratio of all three harmonics.e.g.,425Hz:595Hz:765Hz⇒5×85Hz:7×85Hz:9×85Hz⇒(2×2+1)85Hz:(2×3+1)85Hz:(2×4+1)85Hz what you saw, each the successive harmonics is an odd number.This is possible only when organ pipe is closed .And 85 is common for all harmonics ,so fundamental frequency is 85Hz

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