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Light of 630nmwavelength illuminates two slits that are0.25mmapart. FIGURE EX33.5shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen?

Short Answer

Expert verified

The distance to the screen is1.31m.

Step by step solution

01

Formula for spacing between the peaks

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

ym=³¾Î»³¢d

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

localid="1649184414720" Δ²â=ym+1-ym

=(m+1)λ³¢d-³¾Î»³¢d

=λ³¢d

02

Calculation of distance to the screen

To isolateL, rearranging the equation yields,

L=dΔ²âλ

localid="1649184047902" ∆yis the distance between any two succeeding peaks in the given figure, which islocalid="1649184044408" 0.33m.

Thus

L=0.25×10-3m×0.33×10-2m630×10-9m

L=1.31m

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Most popular questions from this chapter

A double-slit experiment is set up using a helium-neon laser (λ=633nm). Then a very thin piece of glass (n=1.50) is placed over one of the slits. Afterward, the central point on the screen is occupied by what had been the m=10 dark fringe. How thick is the glass?

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