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A student sets up a double slit interference experiment using light of wavelengt

ID: 2106699 • Letter: A

Question

A student sets up a double slit interference experiment using light of wavelength λ. The separation between the slits is 25λ.

(a) Find the angles at which the m=1, 2, and 3 maxima occur on the viewing screen.
(b) What are the angles for the first three dark fringes?
(c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.

(Please draw a picture/handwrite the solution)
A student sets up a double slit interference experiment using light of wavelength λ. The separation between the slits is 25λ.

(a) Find the angles at which the m=1, 2, and 3 maxima occur on the viewing screen.
(b) What are the angles for the first three dark fringes?
(c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.

(Please draw a picture/handwrite the solution)

Explanation / Answer

a.and b.

at m=1, d sin

A= 1*I sinA= 1/25 = 0.04

A= 2.54 deg

at m=2, sinA=2/25=0.08

A=5.09 deg

at m=3,sinA=3/25

A=7.65 deg

yes, angles are evenly spaced, as slit has a finite opening, and intensity is distributed evenly on the screen