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FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the wavelength of the light is 620nm. What is the distance from the slits to the screen?

Short Answer

Expert verified

The screen's length from the slits isL=1.61m.

Step by step solution

01

Step: 1 Screen slit:

The fringe width reduced as the slit spacing improved, indicating reduced interference. The fringe width rose as the distance between the slits and the wall improved, because the light would have more area to diffract outwards and so interfere more.

02

Step: 2 Finding spacing fringes:

The distance between any two subsequent fringes in a double slit experiment is provided by the following relation.

Δy=λLd.

The spacing between five peaks is comparable to role="math" localid="1649086556897" 4∆yin FIGUREP33.36. As a result, the distance between any two consecutive fringes is

Δy=2cm4Δy=0.5cm.

03

Step: 3 Finding slit screen distance:

Distance of screen slit by

L=dΔyλL=0.2×10−3m×0.5×10−2m620×10−9mL=1.61m.

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