Question

In a resonance tube experiment, the first resonance is observed when the length of the air column is 14.2 cm and the second resonance when the length of the air column is 46.2 cm. Among the following, the correct choice is:

• A. the wavelength of the vibrations set up in the air column is 64 cm
• B. the diameter of the tube is 3 cm
• C. the frequency of the tuning fork with which the air column is in resonance is 400 Hz
• D. the diameter of the cube is 1cm

Answer 1

The correct option is A the wavelength of the vibrations set up in the air column is 64 cm

Distance between first and second resonance is $\frac{\lambda }{2}$.

$\Rightarrow \frac{\lambda }{2}=46.2-14.2=32$

$\therefore \lambda =64cm$