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 cm. The next larger length of the column resonating with the same tuning fork is             [2016]

1 150 cm  
2 200 cm  
3 66.7 cm  
4 100 cm  

Ans.

(1)

From Figure,

First harmonic is obtained at

           l=λ4=50 cm

Third harmonic is obtained for resonance,

         l'=3λ4=3×50=150cm