Exam 27: Wave Optics

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

In an interference pattern,the wavelength and frequency are

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 $\degree$ with the crystal face.What is the wavelength of the X-rays?

The figures below represent interference fringes.The distances from the screen to the slits is the same for each figure,and the planes of the screen and the slits are parallel.In each figure the spacing d between the slits is the same.Which figure(s)represent(s)slits illuminated with light of the shortest wavelength $\lambda$ ? The white spaces represent the interference maxima.

The pupil of a cat's eye narrows to a slit width of 0.5 mm in daylight.What is the angular resolution of the cat's eye in daylight ( $\lambda$ = 500 nm)?

In an X-ray diffraction experiment using X-rays of $\lambda$ = 0.500 *10^-10 m,a first-order maximum occurred at 5.00 $\degree$ .Find the crystal plane spacing.

Two slits separated by 0.10 mm are illuminated with green light ( $\lambda$ = 540 nm).Calculate the distance (in cm)from the central bright-region to the fifth bright band if the screen is 1.0 m away.

Two slits are illuminated with green light ( $\lambda$ = 540 nm).The slits are 0.05 mm apart and the distance to the screen is 1.5 m.At what distance (in mm)from the central maximum on the screen is the average intensity 50% of the intensity of the central maximum?

A helium-neon laser ( $\lambda$ = 632.8 nm)is used to calibrate a diffraction grating.If the first-order maximum occurs at 20.5 $\degree$ ,what is the line spacing,d?

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?

Estimate the distance (in cm)between the central bright region and the third dark fringe on a screen 5.00 m from two double slits 0.500 mm apart illuminated by 500-nm light.

A ruby laser beam ( $\lambda$ = 694.3 nm)is sent outwards from a 2.7-m diameter telescope to the moon,384,000 km away.What is the radius of the big red spot on the moon?

Light from a helium-neon laser ( $\lambda$ = 632.8 nm)is incident upon a 0.200-mm wide slit.Find the total width of the central maximum 2.00 m from the slit.

Monochromatic light ( $\lambda$ = 500 nm)is incident on a soap bubble (n = 1.4)that is 50 mm thick.What is the change of phase of the light reflected from the front surface?

The bright and dark bands you see in a photograph of a double slit interference pattern represent

Plane waves of ultrasound,f = 51.0 kHz,impinge on a flat plane with a 1.00 cm-wide slit.What is the total angular width (2 $\theta$ )of diffracted sound waves when the speed of sound in air is 340 m/sec.

The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters.What angular resolution will this telescope achieve for visible light of wavelength $\lambda$ = 4.80 *10 ^{- 7} m?

The hydrogen spectrum has a red line at 656 nm,and a blue line at 434 nm.What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm?

Two slits are illuminated with red light ( $\lambda$ = 650 nm).The slits are 0.25 mm apart and the distance to the screen is 1.25 m.What fraction of the maximum intensity on the screen is the intensity measured at a distance 3.0 mm from the central maximum?

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be doubled