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JiTT Exercises
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1
The Hubble telescope uses a mirror of radius 1.2 m. Is its resolution better when detecting visible light or UV? Explain.
2
In Section 25.3 we studied interference due to thin films. Why must the film be thin? Why don't we see interference effects when looking through a window or at a poster covered by a plate of glass—even if the glass is optically flat?
3
Coherent light from a laser is split into two beams with intensities I0 and 4I0, respectively. What is the intensity of the light when the beams are recombined? If there is more than one possibility, give the range of possibilities.
4
A Michelson interferometer is adjusted so that a bright fringe appears on the screen. As one of the mirrors is moved 25.8 μm, 92 bright fringes are counted on the screen. What is the wavelength of the light used in the interferometer?
5
A thin film of oil (n = 1.50) of thickness 0.40 μm is spread over a puddle of water (n = 1.33). For which wavelength in the visible spectrum do you expect constructive interference for reflection at normal incidence?
6
In a double-slit interference experiment, the wavelength is 546 nm, the slit separation is 0.10 mm, and the screen is 30.0 cm away from the slits. What is the linear distance between adjacent maxima on the screen?
7
Light from a helium-neon laser (630 nm) is incident on a pair of slits. In the interference pattern on a screen 1.5 m from the slits, the bright fringes are separated by 1.35 cm. What is the slit separation?
8
A red line (wavelength 630 nm) in the third order overlaps with a blue line in the fourth order for a particular grating. What is the wavelength of the blue line?
9
The first two dark fringes on one side of the central maximum in a single-slit diffraction pattern are 1.0 mm apart. The wavelength of the light is 610 nm and the screen is 1.0 m from the slit. What is the slit width?
10
Light from a red laser passes through a single slit to form a diffraction pattern on a distant screen. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum on the screen?
11
Two slits separated by 20.0 μm are illuminated by light of wavelength 0.50 μm. If the screen is 8.0 m from the slits, what is the distance between the m = 0 and m = 1 bright fringes?







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