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Chapter 33: Q. 18 (page 955)

A 0.50-mm-wide slit is illuminated by light of wavelength 500nm. What is the width (inmm)of the central maximum on a screen2.0mbehind the slit?

Short Answer

Expert verified

Width of the central maximum is4mm.

Step by step solution

01

Formula for width

The focus maximum is equal to the distance between the first order minima along both sides of the screen, yet it is positioned between the minima.

2Dais the maximum width of the centre.

2胃=2位补is the centre maximum's angular width.

w=2位尝a

02

Calculation for width

The width of the median maximum in the scientific experiment is

w=2位尝a

This width will be in our case

localid="1649240628379" w=2脳5脳10-7脳25脳10-4

=4脳10-3m

=4mm

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Most popular questions from this chapter

FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?

The wings of some beetles have closely spaced parallel lines of melanin, causing the wing to act as a reflection grating. Suppose sunlight shines straight onto a beetle wing. If the melanin lines on the wing are spaced 2.0渭mapart, what is the first-order diffraction angle for green light 位=550nm?

Light from a helium-neon laser (位=633nm) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?

Light of wavelength 600nmpasses though two slits separated by 0.20mmand is observed on a screen 1.0mbehind the slits. The location of the central maximum is marked on the screen and labeled y=0.

a. At what distance, on either side of y=0, are the m=1bright fringes?

b. A very thin piece of glass is then placed in one slit. Because light travels slower in glass than in air, the wave passing through the glass is delayed by 5.0脳10-16sin comparison to the wave going through the other slit. What fraction of the period of the light wave is this delay?

c. With the glass in place, what is the phase difference 螖蠒0between the two waves as they leave the slits?2

d. The glass causes the interference fringe pattern on the screen to shift sideways. Which way does the central maximum move (toward or away from the slit with the glass) and by how far?

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the wavelength of the light is 620nm. What is the distance from the slits to the screen?
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