First slide

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

Moderate

A

66.7 cm
B

100 cm
C

150 cm
D

200 cm

Solution

First minimum resonating length for closed organ pipe = $\frac{λ}{4} = 50 cm$
$∴ Next larger length of air column = \frac{3 λ}{4} = 150 cm$
1st length = 50 cm
3rd harmonic length = 150 cm

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