Follow these steps to solve this problem: Two identical loudspeakers, speaker 1 and speaker 2, are 2.0 mm apart and are emitting 1700-HzHz sound waves into a room where the speed of sound is 340 m/sm/s . Consider a point 4.0 mm in front of speaker 1, which lies along a line from speaker 1, that is perpendicular to a line between the two speakers. Is this a point of maximum constructive interference, a point of perfect destructive interference, or something in between

The point is neither maximum constructive interference nor perfect destructive interference, the interference is something in between.

Explanation:

Given data in the question;

first we find the wavelength of the sound λ

Then we find the path-length difference to the point from the two speakers, and divide it by the wavelength.

wavelength λ  = velocity / frequency = 340 m/s / 1700 Hz = 0.2 m

L1 = 4 m

L2 = √(4² +2² ) m

delta L = L2 - L1 = √(4² +2² ) m - 4 m = 0.472 m

x = deltaL / λ

If the result is nearly an integer, the waves reinforce at the point.

If it is nearly an integer + 0.5, the waves interfere destructively at the point.

If it is neither, the point is "something in between".

so we solve for  x

x = 0.472 m / 0.2m

x = 2.36

since its not an integer, it is not point maximum constructive interference

delta L = ( 2x + 1 ).λ/2

x = ((2deltaL/λ) - 1)/2

x = (((2×0.472)/0.2) - 1)/2

x = 3.72 / 2

x = 1.86

Here also, it is not an integer, so it is not a point perfect destructive interference.

Therefore, The point is neither maximum constructive interference nor perfect destructive interference, the interference is something in between.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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