Exam 25: Optical Instruments: Part A

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)in air if the film is 70.0 nm thick?

In a Young's double-slit interference apparatus,by what factor is the distance between adjacent light and dark fringes changed when the separation between slits is tripled?

That all points on a wave front act as new sources of spherical waves is attributed to:

What is the highest order (the m value)of the complete visible spectrum (390 nm to 710 nm)that can be obtained with a grating having 300 lines/mm?

A binary star system in the constellation Orion has an angular separation between the stars of 10−⁵ radians.Assuming a wavelength of 700 nm,what is the smallest aperture (diameter)telescope that will just resolve the two stars? (1 nm = 10−⁹ m)

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with yellow light of wavelength (λ = 600 nm),a total of 61 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

The 2.4-m diameter Hubble space telescope has been placed into Earth orbit by the space shuttle.Assuming a wavelength of 710 nm,what angular resolution could this telescope achieve by Rayleigh's criterion? (1 nm = 10−⁹ m)

A wavelength of 573 nm yields a first order (m = 1)maximum at 40° with a grating.At what angle will the second order (m = 2)maximum appear for this wavelength?

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 322 nm,which of the following wavelengths of visible light is strongly reflected?

An individual's eye pupil changes from a diameter of 1.5 mm to 3.5 mm as the illumination is increased.By what factor does the minimum angle of resolution change?

In a Young's double-slit interference apparatus,the distance from the slits to the screen is tripled.The distance between adjacent light and dark fringes changes by a factor of:

In a single-slit diffraction experiment,the angular width of the central maximum is 0.16°.The width of the slit is then doubled as is the distance to the screen.What is the resulting angular width of the central maximum?

If a wave from one slit of a Young's double-slit set-up arrives at a point on the screen one-half wavelength behind the wave from the other slit,what is observed at that point?

What wavelength monochromatic source in the visible region (390 to 710 nm)can be used to constructively reflect off a soap film (n = 1.46)in air if the film is 288 nm thick?

A Young's double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits,and the spacing between the two slits is 0.0315 mm.What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10−⁹ m)

Two closely spaced parallel glass plates are separated by 900 nm.What wavelength light source in the visible region (390 nm to 710 nm)will experience maximum transmission through the two plates?

Waves from a radio station with a wavelength of 900 m arrive at a home receiver a distance 50 km away from the transmitter by two paths.One arrives via 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 light source simultaneously emits light of two wavelengths,480 nm and 560 nm,respectively.The source is used in a double-slit interference experiment where the slit spacing is a 0.040 mm,and the distance between double slits and the screen is 1.6 m.What is the separation between the m = 3 bright fringes of the two wavelengths as they appear on the screen? (1 nm = 10−⁹ m)

A multiple slit diffraction grating has a slit separation of 2.00 × 10−⁶ m.Find the wavelength of the monochromatic light that will have its second order (m = 2)bright fringe diffracted through an angle of 43.4°.(1 nm = 10−⁹ m)