An open organ pipe sounds a fundamental note of frequency 330 Hz. If the speed in air is 330 m/s then the length of the pipe is nearly

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0.25 m

0.50 m

0.75 m

answer is B.

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Detailed Solution

In open pipes two antinodes are turned at the two ends of the pipe.
So, length of the pipe $l = \frac{λ}{2}$
$∴ l = \frac{1}{2} \times \frac{V}{n} = \frac{1}{2} \times \frac{330}{330} = 0 .50 m$

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