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Chapter 33: Q. 37 (page 956)

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the screen is 2.0mbehind the slits. What is the wavelength (in nm) of the light?

Short Answer

Expert verified

The light's wavelength isλ=500nm.

Step by step solution

01

Step: 1 wavelength light:

The wavelength of visible light is 400nmto 700nm, and this is where we understand about the widths of multiple colors in the visible spectrum of light.

02

Step: 2 Finding the width:

As per the diagram,since the width of four fringes is 20cm, the width of one fringe will be

w=0.024w=5×10−3m.

We understand that the fringe thickness in the double-slit experiment is calculated as

w=λLd.

03

Step: 3 Obtaining the wavelength value:

The wavelength by

λ=wdL

λ=5×10−3×2×10−42

λ=5×10−7m

localid="1649147686306" λ=500nm.

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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?

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about 1cmacross, and you estimate that the distance from the window shade to the wall is about 3m.. Estimate (a) the average wavelength of the sunlight (in nm ) and (b) the diameter of the pinhole (in mm ).

A helium-neon laser (λ=633nm) illuminates a diffraction grating. The distance between the two m=1 bright fringes is 32cm on a screen 2.0m behind the grating. What is the spacing between slits of the grating?

Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringes on the screen get closer together, get farther apart, remain the same, or disappear? Explain.

A Michelson interferometer using 800nm light is adjusted to have a bright central spot. One mirror is then moved 200nm forward, the other 200nm back. Afterward, is the central spot bright, dark, or in between? Explain.
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