• # question_answer A pipe of length 1 m is closed at one end. The velocity of sound in air is 300 m/s. The air column in the pipe will not resonate for sound of frequency A)  75 Hz.                        B)  225 Hz.C)  300 Hz.                      D)  375 Hz.

The tube will resonate for $\ell =(2n+1)\frac{\lambda }{4},n=0,1,\,2$ Frequency $=f=\frac{V}{\lambda }=\frac{V(2n+1)}{4\ell }=\frac{300(2n+1)}{4\times 1}$ $=75\,(2n+1)$ For $r=300\,Hz,$ the value of$n=\frac{3}{2},$ which is not an integer Hence, the correction option is [c].