A water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Ocean waves of 20.0-m wavelength approach the opening straight on. At what angles to the incident direction are the boats inside the harbor most protected against wave action?

Respuesta :

Answer: 23.6

Explanation:

The angles to the incident direction are the boats inside the harbor most protected against wave action will be  23.57 °

What is diffraction ?

Diffraction is the phenomenon that occur when a wave of light encounter an obstacle or a slit generally.

considering wide opening of harbor as thickness d

the ocean wave as light source (coherent )

boats inside the harbor as screen where diffraction pattern is going to happen

so , destructive interference  should happen (to minimize the amplitude of wave ) in order to save the boats from its effect

n * lambda = d sin (theta )

n=1  ( first  order minima )

sin(theta ) = lambda / d

sin( theta ) = 20 /50

sin(theta) = 2/5

theta = sin inverse (2/5)

theta = 23.57 °

The angles to the incident direction are the boats inside the harbor most protected against wave action will be  23.57 °

learn more about diffraction

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