Microwaves of wavelength 5.00 cm enter a long, narrow window in a building that is otherwise essentially opaque to the incoming waves. If the window is 36.0 cm wide, what is the distance from the central maximum to the first - order minimum along a wall 6.50 m from the window?

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Asked Dec 19, 2019
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Microwaves of wavelength 5.00 cm enter a long, narrow window in a building that is otherwise essentially opaque to the incoming waves. If the window is 36.0 cm wide, what is the distance from the central maximum to the first - order minimum along a wall 6.50 m from the window?

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Expert Answer

Step 1

The condition for destructive interference is

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sine = m a

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Step 2

Substituting the given values and solving for θ gives

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5.00cm sine = (1): 36.0cm = 0.139 e = sin- (0.139) = 7.98°

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Step 3

The tangent of θ, the distance from central maximum to fir...

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tane = Y

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