In a medium,sound travels 2 , km in 3 , sec a | vedclass

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(D) The speed of sound in a medium is given by $v = \frac{d}{t}$.For the first medium,$v_1 = \frac{2 \, km}{3 \, sec} = \frac{2}{3} \, km/s$.For the s

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$20:9$

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(D) The speed of sound in a medium is given by $v = \frac{d}{t}$.For the first medium,$v_1 = \frac{2 \, km}{3 \, sec} = \frac{2}{3} \, km/s$.For the second medium (air),$v_2 = \frac{3 \, km}{10 \, sec} = \frac{3}{10} \, km/s$.Since the frequency $f$ of the sound wave remains constant when it travels between different media,the speed $v$ is directly proportional to the wavelength $\lambda$ $(v = f \lambda \implies v \propto \lambda)$.Therefore,the ratio of the wavelengths is $\frac{\lambda_1}{\lambda_2} = \frac{v_1}{v_2}$.Substituting the values: $\frac{\lambda_1}{\lambda_2} = \frac{2/3}{3/10} = \frac{2}{3} 	imes \frac{10}{3} = \frac{20}{9}$.Thus,the ratio is $20:9$.

In a medium,sound travels $2 \, km$ in $3 \, sec$ and in air,it travels $3 \, km$ in $10 \, sec$. The ratio of the wavelengths of sound in the two media is

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