Red light of wavelength 630 nm passes through two slits and then onto a screen t

Question

Red light of wavelength 630 nm passes through two slits and then onto a screen that is 1.8 m from the slits. The center of the 3rd order bright band on the screen is separated from the central maximum by 0.72 cm .

Question) Determine the angle of the third-order bright band.

Express your answer to two significant figures and include the appropriate units.

Red light of wavelength 630 nm passes through two slits and then onto a screen that is 1.8 m from the slits. The center of the 3rd order bright band on the screen is separated from the central maximum by 0.72 cm .

Question) Determine the angle of the third-order bright band.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Let

The center of the 3rd order bright band on the screen is separated from the central maximum by 0.72 cm.

d=k?/sin?
k=3
?=arctan(7.2x10^-3/1.8)=0.23 degree
then
d=3*630x10^-9/sin(0.23)
d=4.73x10^-4 m = 0.473 mm

d=k?/sin?
?=arcsin(k?/d)
k=3
d=0.473 mm
then
?=arcsin(3*630x10^-9/0.473x10^-3)
?=0.23 degree

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