Exam 27: Wave Optics

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.Which figure(s)represent(s)slits with the smallest spacing d between the slits? The white spaces represent the interference maxima.

Two slits separated by 0.050 mm are illuminated with green light ( $\lambda$ = 540 nm).How many bands of bright lines are there between the central maximum and the 12-cm position? (The distance between the double slits and the screen is 1.0 m. )

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 $\lambda$ = 500 nm light and a pupil diameter D = 0.50 cm.Assume eye fluid has an average n = 1.33.

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,

The figure shows two point sources of light,A and B,that emit light waves in phase with each other.A is distant 3 $\lambda$ from point P.B is distant 5 $\lambda$ from P.( $\lambda$ is the wavelength. )The phase difference between the waves arriving at P from A and B is

Ray says that interference effects cannot be observed with visible light because random phase changes occur in time intervals less than a nanosecond.Stacy says that doesn't matter if collimated light from a single source reaches multiple openings.(They are arguing about a light source 50.0 cm away from two 0.010 0 mm-wide slits,2.00 mm apart,with a screen 1.00 m away from the slits. )Which one,if either,is correct,and why?

Monochromatic light from a He-Ne laser ( $\lambda$ = 632.8 nm)is incident on a diffraction grating containing 5 000 lines/cm.Determine the angle of the first-order maximum.

A thin sheet of plastic (n = 1.60)is inserted between two panes of glass to reduce infrared ( $\lambda$ = 700 nm)losses.What thickness (in nm)is necessary to produce constructive interference in the reflected infrared radiation?

A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected?

Helium-neon laser light ( $\lambda$ = 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?

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 shortest wavelength?

Monochromatic light ( $\lambda$ = 500 nm)is incident on a soap bubble (n = 1.40).What is the wavelength of the light (in nm)in the bubble film?

A radar installation operates at 9 000 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.

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The locations of bright and dark fringes can be interchanged if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

A film of index of refraction n₁ coats a surface with index of refraction n₂.When n₁ < n₂,the condition for destructive interference for reflected monochromatic light of wavelength $\lambda$ in air is

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 115 nm,what visible light wavelength is most strongly reflected?

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?

In a double-slit experiment using light of wavelength 486 nm,the slit spacing is 0.600 mm and the screen is 2.00 m from the slits.Find the distance along the screen between adjacent bright fringes.

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 decreased,