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

Easy

A

150cm
B

200cm
C

66.7cm
D

100cm

Solution

From figure, First harmonic is obtained at

$l = \frac{λ}{4} = 50 cm$
$T h i r d h a r m o n i c i s o b t a i n e d f o r r e s o n a n c e,$
$l^{'} = \frac{3 λ}{4} = 3 \times 50 = 150 cm$

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