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Chapter 33: Q. 17 (page 955)

Light of630nmwavelength illuminates a single slit of width 0.15mm. FIGURE EX33.17shows the intensity pattern seen on a screen behind the slit. What is the distance to the screen?

Short Answer

Expert verified

Distance to the screen is1.19m.

Step by step solution

01

Formula for length

Between the primary order minima on each side of the screen, the centre maximum stretches up to the distance between them.

The greatest width of the centre is2Da.

The centre maximum's angular width is2胃=2位补

So,

w=2位尝a

localid="1649234782892" L=wa2位

02

Calculation for distance of the screen

Width is,

w=2位尝a

The screen's distance,

L=wa2位

=1脳10-2m脳0.15脳10-3m2脳630脳10-9m

L=1.19m

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Most popular questions from this chapter

FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.

Light from a helium-neon laser (位=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)?

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?

Your artist friend is designing an exhibit inspired by circular-aperture diffraction. A pinhole in a red zone is going to be illuminated with a red laser beam of wavelength 670nm, while a pinhole in a violet zone is going to be illuminated with a violet laser beam of wavelength 410nm. She wants all the diffraction patterns seen on a distant screen to have the same size. For this to work, what must be the ratio of the red pinhole鈥檚 diameter to that of the violet pinhole?

A Michelson interferometer is set up to display constructive interference (a bright central spot in the fringe pattern of Figure) using light of wavelength l. If the wavelength is changed to 位/2, does the central spot remain bright, does the central spot become dark, or do the fringes disappear? Explain. Assume the fringes are viewed by a detector sensitive to both wavelengths.
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