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 :

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 : (A) 100 cm (B) 150 cm (C) 200 cm (D) 66.7 cm

Tardigrade Admin · Accepted Answer

First minimum resonating length for closed organ pipe = (λ/4) = 50 cm ∴ Next larger length of air column = (3 λ/4) = 150 cm

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

100 cm

150 cm

200 cm

66.7 cm

First minimum resonating length for closed organ pipe $= \frac{λ}{4} = 50 c m$
$∴$ Next larger length of air column $= \frac{3 λ}{4} = 150 c m$

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