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  4. 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 :

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Q. 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 :

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Solution:

First minimum resonating length for closed organ pipe $ = \frac{\lambda}{4} = 50 \, cm$
$\therefore $ Next larger length of air column $ = \frac{3 \lambda}{4} = 150 \, cm$