Exam 24: Wave Optics

In a Young's experiment,the paths from the slits to a point on the screen differ in length causing constructive interference at the point.Which of the following path difference would cause this constructive interference?

Diffraction grating №1 has half the lines/cm that diffraction grating №2 does.When used with a certain wavelength of light,both gratings give first order maxima.Which of the following statements is true for the same wavelength of light.

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with violet light of wavelength (λ = 408 nm),a total of 109 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−⁹ m)

After light from a source passes through two slits,a first order bright spot is seen on the wall at point P.Which distance is equal to the wavelength of the light?

Newton's rings:

Two narrow slits are 0.022 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 2.7 cm apart.What is the separation between the second order bright fringe and the central fringe?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

A multiple slit diffraction grating has a slit separation of 2.37 × 10−⁶ m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 27.7°.(1 nm = 10−⁹ m)

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

The center spot of Newton's rings is dark.This destructive interference occurs because:

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.6 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

When the sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 320 nm,which of the following wavelengths of visible light is strongly reflected?

How far above the horizon is the moon when its image reflected in calm water is completely polarized? (n_water = 1.333)

In the straight-ahead direction (θ = 0°)in Fraunhofer diffraction,which of the following is observed on the screen?

A Fraunhofer diffraction pattern is produced from a light source of wavelength 671 nm.The light goes through a single slit and onto a screen 1.9 m away.The first dark fringe is 6.1 mm from the central bright fringe.What is the slit width? (1 nm = 10−⁹ m)

A light source simultaneously emits light of two wavelengths,581 nm and 545 nm,respectively.The source is used in a double-slit interference experiment where the slit spacing is a 0.0441 mm,and the distance between double slits and the screen is 1.70 m.What is the separation between the second-order bright fringes of the two wavelengths as they appear on the screen? (1 nm = 10−⁹ m)

At what angle is the sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.63)?

Waves from a radio station with a wavelength of 761 m arrive at a home receiver a distance 50 km away from the transmitter by two paths.One is a direct-line path and the second by reflection from a mountain directly behind the receiver.What is the minimum distance between the mountain and receiver such that destructive interference occurs at the location of the listener? Assume no phase change on reflection.

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.89 cm,and the light source has a wavelength of 576 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)