Question

ration of the wave length of sound waves in air is 3:5. find the ratio of their frequency​

Answer 1

Answer:

wavength α 1/f

Explanation: so ratio is 5:3

Answer 2

The ratio of the frequencies of the sound wave is 5 : 3.

Given: The ratio of the wavelength of the sound waves in air is 3:5.

To Find: The ratio of the frequency of the sound wave.

Solution:

• We know that the relation between the frequency and wavelength of a wave can be given by the equation,

                   V = λ × f                                                                ...(1)

Where V = velocity of the sound wave, λ = wavelength of the sound wave, and f = frequency of the sound wave.

• For a particular sound wave, we can say that the velocity of the sound wave is constant and so, the frequency of the sound wave is inversely proportional to the wavelength of the sound wave.

                            f ∝ 1 / λ                                                                ...(2)

Coming to the numerical, we are given that,

The ratio of the wavelength ( λ1 / λ2 ) = 3: 5

So, from (2), we can say that the frequency is inversely proportional to the wavelength,

          f2 / f1 = λ1 / λ2

    ⇒   f2 / f1 = 3 / 5

    ⇒   f1 / f2 = 5 / 3

So, the ratio of the frequencies of the sound wave is 5 : 3.

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