Assume a change at the source of sound reduces the wavelength of a sound wave in air by a factor of 3.

(i) What happens to its frequency? It increases by a factor of 9. It increases by a factor of 3. It is unchanged. It decreases by a factor of 3. It changes by an unpredictable factor.
(ii) What happens to its speed?

Respuesta :

Explanation:

The speed of a wave is given by :

[tex]v=f\lambda[/tex] ......(1)

(i) Here, the wavelength of a sound wave in air reduces by a factor of 3. Equation (1) becomes :

[tex]\lambda=\dfrac{v}{f}[/tex]

Wavelength and frequency are inversely proportional to each other. So, if wavelength of a sound wave in air reduces by a factor of 3, then the frequency will increases by a factor of 3.

(ii) It remains the same.

(i) The frequency will increase by a factor of 3.

(ii) The speed will remain the same.

The speed of a wave is given by :

[tex]v= \nu*\lambda[/tex] ......(1)

[tex]\lambda=\frac{v}{\nu}[/tex]

(i) Here, the wavelength of a sound wave in the air reduces by a factor of 3.

Wavelength and frequency are inversely proportional to each other. So, if the wavelength of a sound wave in the air reduces by a factor of 3, then the frequency will increase by a factor of 3.

(ii) The speed is directly proportional to the wavelength. thus the speed will remain the same.

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