rrow v a screen. and have the same width intensity pattern in the hgure is obser

Question

rrow v a screen. and have the same width intensity pattern in the hgure is observed when light from a laser passes through the slits, illuminating them úniformly. The screen is perpendicular to the direction of the light. Data: Distance to the screen-3.13 m, wavelength of right = 470 nm, Distance between tick marks on the intensity ngure·1.40 cm. What is the spacing between the slits? .072X10-4m You are correct. Previous Tries Calculate the width of the slits. u Anww Tries 0/12 If the slit separation is increased by a factor of 3, what would be the distance between the principal peaks on the screen? ubmt Answer Tries 0/12

Explanation / Answer

fringe width = lambda D / a

1.40 x 10^-2 m = (470 x 10^-9 m) (3.13 m) / a

a = 105 x 10^-6 m .........Ans

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for difffraction, fring width = 1.40 / 3 cm

and fringe width = lambda D / d

d-> slit width

(1.40 / 3) x 10^-2 = (470 x 10^-9)(3.13)/d

d = 315 x 10^-6 m ..........Ans

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distance between peaks = fringe width = lambda D / a

now a -> a/3

so width will become 3 time.

distance = 1.40 x 3 = 4.2 cm Or 0.042 m

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