Exam 38: Diffraction Patterns and Polarization

A radar installation operates at 9000 MHz with an antenna (dish)that is 15 meters across.Determine the maximum distance (in kilometers)for which this system can distinguish two aircraft 100 meters apart.

Light reflected off a plate-glass window (n = 1.5)is found to be completely polarized at angle-of-incidence θ.Find θ.

The polarizing angle in air for diamond is 67.4°.Calculate the critical angle inside the diamond for total internal reflection.

White light is spread out into spectral hues by a diffraction grating.If the grating has 1000 lines per cm,at what angle will red light (λ = 640 nm)appear in first order?

When you look at a single slit diffraction pattern produced on a screen by light of a single wavelength,you see a bright central maximum and a number of maxima on either side,their intensity decreasing with distance from the central maximum.If the wavelength of the light is increased,

When you look at a single slit diffraction pattern produced on a screen by light of a single wavelength,you see a bright central maximum and a number of maxima on either side,their intensity decreasing with distance from the central maximum.If the width of the slit is increased,

If the interplanar spacing of NaCl is 2.814 × 10−¹⁰ m,what is the predicted angle at which X-rays of wavelength 0.140 nm will be diffracted in a first-order maximum?

What,approximately,are the dimensions of the smallest object on Earth that the astronauts can resolve by eye at 200 km height from the space shuttle? Assume λ = 500 nm light and a pupil diameter D = 0.50 cm.Assume eye fluid has an average n = 1.33.

How far above the horizon is the moon when its image,reflected in a calm lake,is completely polarized? (n_water = 1.33. )

If the polarizing angle for cubic zirconia (zirconium oxide)is 65.6°,what is the index of refraction of the material?

Suppose a 5.0-meter diameter telescope were constructed on the dark side of the moon.The viewing there (except for brief periods of sunlight)would be excellent.As an example,what would be the separation between two objects that could just be resolved on the planet Mars in 500 nm light? [The distance to Mars at closest approach is 50 million miles.]

When you look through a sheer curtain at a distant street lamp,you see a pattern of colored spots of light.This occurs by

The spacing between reflecting planes in a crystal is 2.82 × 10−¹⁰ m.A beam of X-rays is strongly reflected at an angle of 160° with the crystal face.What is the wavelength of the X-rays?

Each pattern shown below would appear on a screen when monochromatic light of wavelength λ first passes through a narrow slit of width a and then strikes a screen.The darkest areas on the page represent the brightest areas on the screen.In which case does the slit have the greatest width?

Each pattern shown below would appear on a screen when monochromatic light first passes through a narrow slit of width a and then strikes a screen.The darkest areas on the page represent the brightest areas on the screen.In which case is the slit illuminated with light of the longest wavelength?

Helium-neon laser light (λ = 6.33 × 10−⁷ m)is sent through a 0.30 mm-wide single slit.What is the width of the central maximum on a screen 1.0 m from the slit?

You could determine the index of refraction for visible light of a dark but reflective medium such as black glass by measuring the

Which of the patterns shown below would appear on a screen when monochromatic light first passes through a narrow slit for which a = λ and then strikes the screen? Note that the darkest area in each illustration represents the brightest area on the screen.

If the polarizing angle (the angle at which reflected light is completely plane polarized)of a flat piece of sapphire is 60.5°,what is its index of refraction?

Polarized light is to have its polarization plane rotated by 90°.In which of the following cases does the final beam have the greatest intensity?