In a medium sound travel 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

1 : 8

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1 : 18

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8 : 1

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20 : 9

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Solution

The correct option is B $20 : 9$
The speed of sound in different medium depends on the wavelength.
$v \propto λ$

$\Rightarrow \frac{λ_{1}}{λ_{2}} = \frac{v_{1}}{v_{2}}$

$= \frac{2 / 3}{3 / 10} = \frac{20}{9}$

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In a medium sound travel 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

The correct option is B 20:9The speed of sound in different medium depends on the wavelength.v∝λ⇒λ1λ2=v1v2=2/33/10=209

The correct option is B $20 : 9$
The speed of sound in different medium depends on the wavelength.
$v \propto λ$

$\Rightarrow \frac{λ_{1}}{λ_{2}} = \frac{v_{1}}{v_{2}}$

$= \frac{2 / 3}{3 / 10} = \frac{20}{9}$