A narrow pipe of length 1m is closed at one end. The velocity of sound in air is 300 $m s^{- 1}$ . The air column in the pipe will resonate for sound of frequencies :

75 Hz

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225Hz

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275 Hz

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375 Hz

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Solution

The correct options are
A 75 Hz
B 225Hz
D 375 Hz
Resonant frequencies of pipe closed at one end are given by
$\frac{c}{4 l}, \frac{3 c}{4 l}, \frac{5 c}{4 l} . . . .$
$⟹ \frac{300}{4} H z, \frac{3 \times 300}{4} H z, \frac{5 \times 300}{4} H z . . . .$
$⟹ 75 H z, 225 H z, 375 H z . . . .$

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A narrow pipe of length 1m is closed at one end. The velocity of sound in air is 300 ms−1 . The air column in the pipe will resonate for sound of frequencies :

The correct options are A 75 Hz B 225Hz D 375 HzResonant frequencies of pipe closed at one end are given by c4l,3c4l,5c4l....⟹3004Hz,3×3004Hz,5×3004Hz....⟹75Hz,225Hz,375Hz....

A narrow pipe of length 1m is closed at one end. The velocity of sound in air is 300 $m s^{- 1}$ . The air column in the pipe will resonate for sound of frequencies :

The correct options are
A 75 Hz
B 225Hz
D 375 Hz
Resonant frequencies of pipe closed at one end are given by
$\frac{c}{4 l}, \frac{3 c}{4 l}, \frac{5 c}{4 l} . . . .$
$⟹ \frac{300}{4} H z, \frac{3 \times 300}{4} H z, \frac{5 \times 300}{4} H z . . . .$
$⟹ 75 H z, 225 H z, 375 H z . . . .$