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Chapter 33: Q.61 (page 958)

Light from a helium-neon laser (λ=633nm)illuminates a circular aperture. It is noted that the diameter of the central maximum on a screen 50cmbehind the aperture matches the diameter of the geometric image. What is the aperture's diameter (in mm)?

Short Answer

Expert verified

The aperture's diameter0.88mm

Step by step solution

01

Circular Aperture

When combining wavelength and aperture diameter D, the size of the girder emerging out of a circular- lens thought experiment at range L out from lens aperture is given by

w=2×44×λLD

02

Diameter

Knowing as w=D, the girth can be given as,

D2=2×44×λL⇒D=2×44×λL

D=2.44×6.33×10−7m×0.5m=8.79×10−4m=0.88mm

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