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Thursday, December 4, 2014

22: Problem 22.7

INTRO:
In a double-slit experiment, the slit separation is 200 times the wavelength of the light.

Part A:
What is the angular separation (in degrees) between two adjacent bright fringes?
Express your answer with the appropriate units.

SOLUTION:
givens: 
d = 200λ

if we consider wavelength as a variable (such as x or y) for a moment, we can just plug the given for d directly into the formula Δθ=λ/d and get λ/200λ which allows us to simply cancel out the λ
giving us Δθ = 1/200 which is the angular separation in radians which is 0.286°

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