Exam 25: Optical Instruments: Part A

Two flat glass plates are in contact along one end and are separated by a sheet of paper 3.0 × 10−⁶ m thick at the other end.The top plate is illuminated by a monochromatic light source of wavelength 490 nm.How many dark parallel bands will be evident across the top plate? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

When using 529-nm light,how far is the adjustable mirror of a Michelson interferometer moved when 600 fringe shifts are counted? A fringe shift occurs when the intensity goes from bright to dark or when it goes from dark to bright.

A microscope has an objective lens with an aperture of diameter 0.60 cm where a monochromatic light source of wavelength 580 nm is used to illuminate the object.It is determined that the minimum angle of resolution is 1.18 × 10−⁴ rad.If the illuminating source were replaced by a source of wavelength 700 nm,what would the minimum angle of resolution now become? (1 nm = 10−⁹ m)

Light with a wavelength of 450 nm shines through a lens with an aperture diameter of 0.85 cm.Use Rayleigh's criterion to determine the limiting angle of resolution.(1 nm = 10−⁹ m)

A telescope is used to view two small lights separated by 2.0 cm at a distance of 500 m.What minimum objective lens diameter is needed to just resolve these objects if their wavelength is 656 nm?

When light passes from a material with a low index of refraction into material with a high index of refraction:

A laser shines 630-nm light through a grating producing a first order (m = 1)maximum at an angle of 30°.A second laser produces a first order maximum with the same grating at 20°.What is the wavelength emitted by the second laser?

Light travels from inside a building to outside through a pane of glass.Which of the following is true regarding the phase change upon reflection in the case?

Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil)at night is 0.70 cm and the length of the eye is 3.0 cm.Assume the wavelength of starlight in the eye is 600 nm.(1 nm = 10−⁹ m)

In a Young's double-slit experiment,by how many wavelengths do the paths from the slits to the screen differ for the m = 3 and the m = 8 minima?

A thin film ( )of thickness 77.6 nm,applied to a camera lens ( ),is the minimum thickness that results in destructive interference for reflected light of wavelength 450 nm.which of the following is the next greater thickness that will also give destructive interference for this wavelength?

A silicon monoxide (n = 1.45)film of 108 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10−⁹ m)

A beam of light of wavelength 600 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

A puddle of water (n = 1.33)is covered with a very thin layer of oil (n = 1.20).How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?

What is the highest order (m value)maximum for wavelength 450 nm that can be obtained with a grating with 300 lines per mm?

At what angle will the second order (m = 2)maximum occur for a wavelength of 450 nm using a diffraction grating with 10,000 lines per cm?

Two narrow slits are 0.025 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 1.3 cm apart.What is the separation between the m = 2 bright fringe and the central fringe?

Two flat glass plates are in contact along one end and are separated by a sheet of tissue paper at the other end.A monochromatic source of wavelength 490 nm illuminates the top plate.If 20 dark bands are counted across the top plate,what is the paper thickness? (1 nm = 10−⁹ m)Note that a dark band occurs where the plates contact.

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits.If the distance between alternating bright fringes is 0.83 cm,and the light source has a wavelength of 580 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)

In a Young's double-slit experiment,how many maxima occur between the m = +3 and m = −3 maxima?