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  • 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 length of the column resonating with the same t

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 length of the column resonating with the same tuning fork is:

Option: 1

100 cm


Option: 2

150 cm


Option: 3

200 cm


Option: 4

66.7 cm


Answers (1)

best_answer

l_{1} = 50 cm

Resonant frequency for the first resonance:

n = \frac{v}{4l_{1}}

Resonant frequency for the second resonance:

n = \frac{3v}{4l_{2}}

\therefore l_{1} = \frac{v}{4n}         l_{2} = \frac{3v}{4n}

\therefore l_{1} = \frac{l_{2}}{3}

l_{2} = 3 l_{1} = 3 * 50 = 150 cm

Posted by

Rishabh

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