° In the double-slit experiment of figure a below, monochromatic violet light of
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Question
°In the double-slit experiment of figure a below, monochromatic violet light of wavelength 420 nm illuminates the two parallel narrow slits S1 and S2. The slits are d = 7.25 µm apart. Waves from the slits (which extend into and out of the page) combine at P, an arbitrary point on screen C at distance y from the central axis. The angle ? serves as a convenient locator for P. For D d, we can approximate rays r1 and r2 as being parallel, at angle ? to the central axis (figure b).
(a) Calculate the angular deviation ? of the third-order (for m = 3) bright fringe in radians.
rad
(b) What is this value in degrees?
°
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Section 35-4 Young's Interference Experiment
Explanation / Answer
For Double slit experiment,
the condition for getting a bright fringe is d sin = n
where d= distance between the slits=7.2 * 10^-6 m
= angle in radians
n= nth order maximum =3
= wavelength of light used=420 * 10^-9 m
therefore putting the values (7.2*10^-6) = 3*(420 *10^-9) assuming sin = since is very small
=0.175 radians
in degrees = 0.175*180/ = 10.02 degrees
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