Assume all angles to be exact. In the development of Young\'s double-slit experi

Question

Assume all angles to be exact.
In the development of Young's double-slit experiment, a small-angle approximation (tan??sin?) was used to find the lateral displacements of the maxima (bright) and minima (dark) positions.

Part A

How good is this approximation? For example, what is the percentage error for ? = 11??

Assume all angles to be exact.
In the development of Young's double-slit experiment, a small-angle approximation (tan??sin?) was used to find the lateral displacements of the maxima (bright) and minima (dark) positions.

Part A

How good is this approximation? For example, what is the percentage error for ? = 11??

Explanation / Answer

(tan(11 degrees)-sin(11 degrees))/(tan(11 degrees)) = 0.0184 = 1.84 %

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