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  4. In a resonance column apparatus, first resonance is obtained when the water filling beaker (of cylindrical shape) is just empty as shown. The water filling beaker is lowered down and it is seen that second resonance is obtained when beaker is filled upto brim. The wavelength of sound is given by (α/10) m. Find the value of α.

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Q. In a resonance column apparatus, first resonance is obtained when the water filling beaker (of cylindrical shape) is just empty as shown. The water filling beaker is lowered down and it is seen that second resonance is obtained when beaker is filled upto brim. The wavelength of sound is given by $\frac{\alpha}{10} m$. Find the value of $\alpha$.Physics Question Image

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Solution:

image
$\pi \times 2^{2} \times y=\pi \times 4^{2} \times 100$
$y=40 cm =\lambda / 2$
$\lambda=80 \,cm$