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An air column, closed at one end and op...

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm . The next larger of the column resonating with the same tuning fork is

A

100 cm

B

150 cm

C

200 cm

D

66.7 cm

Text Solution

Verified by Experts

The correct Answer is:
B
For 1st resonance, length of the air column is `l_(1) = 50` cm
Let, for 2nd resonance the length of air column is `l_(2)` Resonant frequency for 2nd resonance ` n = (3V)/(4l_(2))`
`:. l_(1) = (V)/(4n) and l_(2) = (3V)/(4n)`
`:. l_(1) = (l_(2))/(3) or, l_(2) = 3l_(1) = 3 xx 50 = 150 ` cm
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Knowledge Check

  • An air column in a pipe, which is closed at one end , will be in resonance with a tuning fork of frequency 264 Hz if the length of the column (in cm) is

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    B
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