Exam 17: Wave Optics

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

Light from sources A and B passes through the same diffraction grating and falls on a distant screen.If A produces a first-order bright spot at 30° and B produces one at 60°,then the wavelength of the light from B must be twice as great as the wavelength of the light from B.

Two identical gratings are put together to make one grating twice as wide.What condition must be fulfilled so that the resolution truly doubles?

Two radio antennas are 10 km apart on a north-south axis on a seacoast.The antennas broadcast identical AM radio signals,in phase,at a frequency of 4.70 MHz.A steamship,200 km offshore,travels due north at a speed of 15 km/hr and passes east of the antennas.A radio on board the ship is tuned to the broadcast frequency.The reception of the radio signal on the ship is a maximum at a given instant.The time interval until the next occurrence of maximum reception is closest to:

An optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector that is 1.70 m from the slits.If the slits are illuminated with 633 nm light,how far apart should the slits be?

A 0.72 mm diameter hole is illuminated by infrared light of wavelength 2.5 μm What is the angle of the first dark fringe?

Situation 17.1 A 360 nm thick oil film floats on the surface of the water.The indices of refraction of the oil and the water are 1.50 and 1.33,respectively.The surface of the oil is illuminated from above at normal incidence with white light. -In Situation 17.1,the wavelength of light in the 400 nm to 800 nm wavelength band that is most weakly reflected,in nm,is closest to:

A single slit with width 820 nm is illuminated with light of wavelength 555 nm.How many minima occur in the angular range from θ = 0° to θ = ±26°?

A single slit forms a diffraction pattern,with the first minimum at an angle of 40° from central maximum.Monochromatic light of 530 nm wavelength is used.The width of the slit,in nm,is closest to:

Two radio antennas are 130 m apart on a north-south line.The two antennas radiate in phase at a frequency of 3.6 MHz.All radio measurements are made far from the antennas.The smallest angle,reckoned east of north from the antennas,at which constructive interference of two radio waves occurs,is closest to:

Why are only about 6-10 minima seen when light illuminates a single slit?

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture.It is observed on a screen 4.0 m behind the aperture.The width of the central maximum is 5.4 cm.What is the diameter of the hole?

Light passes through two small parallel slits and leaves an interference pattern on a distant screen.If the two slits are now moved closer to each other,the bright fringes on the screen will also move closer to each other.

Situation 17.2 A pair of narrow slits,separated by 1.8 mm,is illuminated by a monochromatic light source.Light waves arrive at the two slits in phase.A fringe pattern is observed on a screen 4.8 m from the slits. -In Situation 17.2,there are 5.0 bright fringes/cm on the screen.The wavelength of the monochromatic light is closest to:

The spacing of ruled lines on a diffraction grating is 1900 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.The angular width of the gap between the first order spectrum and the second order spectrum is closest to:

At most,how many bright fringes can be formed on one side of the central bright fringe (not counting the central bright fringe)when light of 625 nm falls on a double slit whose spacing is 6.77  10^-6 m?

A single slit gives destructive interference when ml = w sin θ.A double slit gives constructive interference when ml = d sin θ.Explain the role of d and w for the single and double slit.

A double slit illuminated with two different colors of wavelengths 831 and 558 nm forms a two-colored diffraction pattern on a screen located 228 cm away.The slit separation is 36 wavelengths of 831 nm light.(a)What order maximum for λ = 831 nm occurs near x = 20.5 cm from zeroth order? (b)What order maximum for λ = 558 nm lies close to this order?

A diffraction pattern of a single slit is compared to the diffraction pattern from a circular aperture of diameter r = w.Are they similar,equal?

A single slit,1400 nm wide,forms a diffraction pattern when illuminated by monochromatic light of 490 nm wavelength.The largest angle from the central maximum at which the intensity is zero is closest to: