Exam 34: Wave Optics

Two beams of light with the same wavelength may interfere either constructively or destructively.If the amplitude and intensity of beam 1 is A and I and the second beam has an amplitude of 3 A,what is the maximum and minimum intensity possible by combining these beams?

The element sodium emits two wavelengths of yellow light that are very close together.The wavelengths are 589.00 nm and 589.59 nm.How many narrow slits are required for a diffraction grating to be able to resolve the first-order bright fringes created by them?

A beam of light having a wavelength of 488 nm is shone on the two slits and an interference pattern is observed.The angular separation between the central maximum and the adjacent maximum is 9.94 * 10^-4 rad.What is the distance between the two slits?

A red laser pointer with a wavelength of 635 nm is shined on a 200-lines/mm diffraction grating.A screen is then placed a distance of 1.0 m behind the diffraction grating to observe the diffraction pattern.How far away from the central maximum will the next bright spot be on the screen?

An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer with the index of refraction n = 1.5.What is the maximum wavelength of radar waves for which the plane is made invisible?

In Newton's ring experiment when oil is introduced into the space between the lens and the plate,the radius of the 9^th ring decreases from 1.9 cm to 1.71 cm.The refractive index of the oil is

A laser beam with wavelength 10.6 $\mu$ m is split into two beams by a beam splitter in a Michelson interferometer.One beam goes to Mirror 1,a distance L from the beam splitter,and returns to the beam splitter while the other beam goes to Mirror 2,a distance L + $\Delta$ x from the beam splitter,and returns to the same beam splitter.The beams then recombine and go to a detector together.If L = 1.00000 m and $\Delta$ x = 1.20000 mm,which best describes the kind of interference at the detector?

How far apart at a minimum should a radio station,operating at 88.1 MHz,place a pair of antennae operating in phase such that no emission occurs along a line 45 degrees from the line joining the antennae?

When Mars is at its closest approach to Earth,the distance is approximately 0.75 AU (1 AU = 1.51 * 10¹¹ m).What aperture is required if a telescope is to be able to resolve a 16 km-wide canyon on Mars's surface? Assume a wavelength in the red-orange,or 610 nm.

Light from a helium-neon laser falls on two narrow slits with separation 0.200 mm.On a screen 1.00 m away from the double-slits an interference pattern emerges.If the fifth maximum is detected at 1.58 cm distance from the center,what is the wavelength of the light?

What is the smallest object separation a near-sighted person can resolve with her naked eye? Assume the diameter of her pupil is 3.0 mm,her eye has a near point of 20 cm and a far point of 2.0 m,and she is using blue-green light ( $\lambda$ = 520 nm).The index of refraction of the aqueous humor is 1.30.

If the wavelength of light illuminating a double slit is halved,the fringe spacing is

Light with frequency 6 * 10¹⁶ Hz is traveling in a material with index of refraction n = 2.What is its wavelength (nm)in this material?

A 4.00-cm wide diffraction grating with 250 grooves per cm is used to resolve two closely spaced lines (a doublet)in a spectrum.The doublet consists of two wavelengths, $\lambda$ _a = 629.8 nm and $\lambda$ _b = 630.2 nm.The light illuminates the entire grating at normal incidence.What order of diffraction is required to resolve these two lines using this grating?

You have single slit diffraction with a wavelength of 570 nm at a distance of 100 cm,and the width of the slit aperture is 1.0 mm.What is the distance to the third minimum from the center of the pattern?

X-rays of wavelength 1.25 Angstroms are incident upon a crystal face in a Bragg refraction experiment.If the crystal spacing is known to be 2.14 angstroms,at what angle should a detector relative to the initial beam direction be placed in order to catch the refracted X-rays?

A red laser pointer is shined on a diffraction grating,producing a series of bright spots on a screen behind the diffraction grating.If the red laser pointer is replaced with a green laser pointer and everything else remains the same,will the green bright spots on the screen be closer together or farther apart than the red bright spots were?

Which light wave will spread out more after passing through a narrow rectangular opening?

A diffraction grating has 600 lines/mm.The number of complete orders formed in the visible region 400 -700 nm is

Blue light ( $\lambda$ _vac = 440 nm )shines onto a plane of glass (n_glass = 1.50).There is a thin layer of oil (n = 1.47)on top of this glass.What is the minimum thickness of the oil if there is constructive interference for the light?