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Chapter 33: Q. 11 (page 955)

A diffraction grating produces a first-order maximum at an angle of 20.0掳. What is the angle of the second-order maximum?

Short Answer

Expert verified

Angle of the second order maximum is43.2掳.

Step by step solution

01

Formula for diffraction angle

The diffraction grating's m-th order diffraction angle is given by

蝉颈苍胃m=尘位d

Where,

胃mis angle of diffraction.

dis grating spacing

位is wavelength

02

Calculation of angle of the second order

When we know that 胃1=20掳

胃1is first order maximum.

The angle of second order maximum is,

胃2=sin-12sin20掳

=sin-1(0.684)

=43.2掳

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Most popular questions from this chapter

Light of wavelength620nmilluminates a diffraction grating. The second-order maximum is at angle 39.5掳. How many lines per millimeter does this grating have?

A laser beam illuminates a single, narrow slit, and the diffraction pattern is observed on a screen behind the slit. The first secondary maximum is 26mmfrom the center of the diffraction pattern. How far is the first minimum from the center of 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?

FIGURE P33.56shows the light intensity on a screen behind a single slit. The wavelength of the light is600nmand the slit width is 0.15mm. What is the distance from the slit to the screen?

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

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?
See all solutions

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