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FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?

Short Answer

Expert verified

(a) The Aperture is a double-slit experiment

(b) Width of the spacing between two slits, d=1.55×10-4m

Step by step solution

01

Double-slit experiment

It proposes that things we name particles, such as electrons, mix particle and wave characteristics in some way. This is quantum mechanics well-known wave-particle duality.

02

Find the Apertures is single-slit or Double-slit (part a)

Because the intensity of the light fringes drops slowly as the order of the fringes increases, and the fringes are evenly spaced, the given graph displays a pattern of double-slit experiment.

03

Find Width (part b)

In the double slit experiment, the position of the brilliant fringes can be written as follows:

ym=mλLd

As a result, the distance between any two brilliant fringes is

Δy=ym+1-ym=(m+1)λLd-mλLd=λLd

We may calculate the ratio by rearranging this equation.

d=λLΔy

The spacing in between two consecutive brilliant fringes is1cm, as seen in the diagram. hence

d=620×10-9m×2.5m1×10-2m

d=1.55×10-4m

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