Diffraction of sound waves is demonstrated when sound waves with a frequency of 1300 hz from a distant source are diffracted through a doorway which is 84 cm wide. calculate the angle between the first two orders of diffraction taking the speed of sound to be 343 m/s.

39.05°

Explanation:

As we know that, the diffraction is the phenomena of bending of light when it passes through  an obstacle.

Mathematically,

Here, d is slit width, is the wavelength, n is the order, is the angle.

Given that, d is 84 cm, n is 2, and the wavelength can be calculated as,

Here, c is the speed of sound and f is the frequency of sound wave.

Here, c is 343 m/s and f is 1300 Hz,

Therefore,

Recall diffraction equation in term of .

Put all the variables.

Therefore, it is the required angle between the first 2 order of diffraction.

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