An air column, closed at one end and open at the other resonates with a tuning fork when the smallest legnth of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is

Options

A. `100cm`
B. `150cm`
C. `200cm`
D. `66.7cm`

Answer

B

Explanation

Here, `l_(1)=50cm, l_(2)=?`
For smalles resonance length `l_(1)`,
`(lambda)/(2)=l_(1):. lambda=2l_(1)=2xx50=100cm`
The next higher length of resonance column is
`l_(2)=(3lambda)/(2)=(3xx100)/(2)=150cm`