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:

• A. $66.7cm$
• B. $100cm$
• C. $150cm$
• D. $200cm$

Answer 1

Answer: (C)

$150cm$

First minimum resonating length of column for closed organ pipe is $\frac{\lambda }{4}=50cm$

Next larger length of column for resonating will be $\frac{3\lambda }{4}=150cm$