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Chapter 33: Q. 17 (page 955)

Light of630nmwavelength illuminates a single slit of width 0.15mm. FIGURE EX33.17shows the intensity pattern seen on a screen behind the slit. What is the distance to the screen?

Short Answer

Expert verified

Distance to the screen is1.19m.

Step by step solution

01

Formula for length

Between the primary order minima on each side of the screen, the centre maximum stretches up to the distance between them.

The greatest width of the centre is2Da.

The centre maximum's angular width is2θ=2λa

So,

w=2λLa

localid="1649234782892" L=wa2λ

02

Calculation for distance of the screen

Width is,

w=2λLa

The screen's distance,

L=wa2λ

=1×10-2m×0.15×10-3m2×630×10-9m

L=1.19m

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