Standing waves

Question

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 50cm. The next larger length of the column resonating with the same tuning fork is

Easy

Solution

From figure, First harmonic is obtained at

$l=\frac{\lambda}{4}=50\mathrm{cm}$

$Thirdharmonicisobtainedforresonance,$

${l}^{\text{'}}=\frac{3\lambda}{4}=3\times 50=150\mathrm{cm}$

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