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Chapter 33: Q. 29 (page 956)

Light from a helium-neon laser (λ=633nm)passes through a circular aperture and is observed on a screen 4.0mbehind the aperture. The width of the central maximum is2.5cm. What is the diameter (in mm) of the hole?

Short Answer

Expert verified

Diameter of the hole , D=0.25mm

Step by step solution

01

Helium-neon Laser

Because they're affordable and provides a relentless, visible output, helium-neon (He-Ne) lasers are commonly utilized for interferometry.

They typically work a wavelength of 633nm, however customized versions with useable outputs at other visible and infrared wavelengths are available.

02

Find Distance 

In the circular-slit experiment, the formula for the width of the central fringe is

w=2.44λLD

We find diameter value using the above expression,

D=2.44λLw

03

Find Distance 

Distance is,

D=2.44λLw
D=2.44×6.33×10-7m×4m2.5×10-2m

=2.47×10-4m

=0.25mm

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Most popular questions from this chapter

The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656nm (red) and 486nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 500lines/mm, and the light is observed on a screen 1.50m behind the grating. What is the distance between the first-order red and blue fringes?

In a single-slit experiment, the slit width is 200 times the wavelength of the light. What is the width (inmm)of the central maximum on a screen 2.0m behind the slit?

Light of wavelength550nm illuminates a double slit, and the interference pattern is observed on a screen. At the position of the m=2 bright fringe, how much farther is it to the more distant slit than to the nearer slit?

It shows the light intensity on a viewing screen behind a circular aperture. What happens to the width of the central maximum if the

a. The wavelength of the light is increased.

b. The diameter of the aperture is increased.

c. How will the screen appear if the aperture diameter is less than the light wavelength?

Scientists shine a laser beam on a 35−μm-wide slit and produce a diffraction pattern on a screen 70cmbehind the slit. Careful measurements show that the intensity first falls to 25% of maximum at a distance of 7.2mm from the center of the diffraction pattern. What is the wavelength of the laser light?
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