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A photon of wavelength 0.79159 nm strikes a free electron that is initially at rest. The photon is scattered straight backward. What is the speed of the recoil electron after the collision?

v =

A photon of red light (wavelength = 700 nm) and a Ping-Pong ball (mass = 1.90 × 10-3 kg) have the same momentum. At what speed is the ball moving?

Light is shining perpendicularly on the surface of the earth with an intensity of 680 W/m2. Assuming that all the photons in the light have the same wavelength (in vacuum) of 585 nm, determine the number of photons per second per square meter that reach the earth.

N =

Light with a frequency of 2.98 × 1015 Hz strikes a metal surface and ejects electrons that have a maximum kinetic energy of 5.2 eV. What is the work function of the metal?

Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 6.5 mm. The taillights of this car are separated by a distance of 1.3 m and emit red light (wavelength = 641 nm in vacuum). How far away from you is this car when its taillights appear to merge into a single spot of light because of the effects of diffraction?

How many dark fringes will be produced on either side of the central maximum if light ( = 639 nm) is incident on a single slit that is 4.73 × 10-6 m wide?

In a Young's double-slit experiment the wavelength of light used is 478 nm (in vacuum), and the separation between the slits is 1.2 × 10-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 6.5 mm. The taillights of this car are separated by a distance of 1.3 m and emit red light (wavelength = 641 nm in vacuum). How far away from you is this car when its taillights appear to merge into a single spot of light because of the effects of diffraction?

Two stars are 2.8 × 1011 m apart and are equally distant from the earth. A telescope has an objective lens with a diameter of 1.83 m and just detects these stars as separate objects. Assume that light of wavelength 550 nm is being observed. Also, assume that diffraction effects, rather than atmospheric turbulence, limit the resolving power of the telescope. Find the maximum distance that these stars could be from the earth.

Light shines through a single slit whose width is 5.9 × 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.0 mm. What is the wavelength of the light?

λ =

A diffraction pattern forms when light passes through a single slit. The wavelength of the light is 537 nm. Determine the angle that locates the first dark fringe when the width of the slit is (a) 3.5 × 10-4 m and (b) 3.5 × 10-6 m.

Two parallel slits are illuminated by light composed of two wavelengths. One wavelength is λA = 643nm. The other wavelength is λB and is unknown. On a viewing screen, the light with wavelength λA = 643nm produces its third-order bright fringe at the same place where the light with wavelength λB produces its fourth dark fringe. The fringes are counted relative to the central or zeroth-order bright fringe. What is the unknown wavelength?

Two converging lenses are separated by 29.00 cm. The focal length of each lens is 17.00 cm. An object is placed 38.00 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.

Light is reflected from a transparent coffee table. When the angle of incidence is 54.5°, the reflected light is completely polarized parallel to the surface of the table top. What is the index of refraction of the material of the table?

A point source of light is submerged 2.3 m below the surface of a lake and emits rays in all directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the maximum radius that this circle could have? Take the refraction index of water to be 1.333.

A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 63.2 degrees, and the angle of refraction is 60.8 degrees. What is the index of refraction of the unknown liquid?

A beam of light is traveling in air and strikes a material. The angles of incidence and refraction are 47.1° and 35.3°, respectively. Obtain the speed of light in the material.

Two astronauts are 2.10 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via electromagnetic waves. The time it takes for sound waves to travel at 343 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. How far away from the earth is the spaceship?