Exam 25: Interference and Diffraction

In a single-slit experiment,light of wavelength 500 nm is used to produce a diffraction pattern on a screen 4.0 m away.If the distance between both 3^rd order minima is 6.0 cm,what is the slit width?

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Two coherent waves reach the same point in phase.One wave has amplitude 8 units and the other has amplitude 6 units.The amplitude of the superposed wave is ______ units.

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 $\times$ 10^-10 m). Light of what wavelength shows constructive interference at a scattering angle of 17.5 degrees?

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 $\times$ 10^-10 m). How many maxima will there be in the diffraction pattern of 2.0 Angstrom X-rays from this crystal?

A laser beam is shown through a grating and a first-order maximum is produced at an angle of 25 $^{\circ}$ .At what angle is the second-order maximum produced?

What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give destructive interference for 550 nm light with normal incidence?

In a double-slit experiment,when both interference and diffraction are taken into account,which is the lowest order maximum that is missing in the case where the slit separations is 0.020 mm and the slit widths are each 0.005 mm?

A thin film of soapy water, n = 1.37, is held vertical.Light of wavelength 600 nm is reflected from the film and horizontal dark lines appear.What is the thinnest soap film for which a bright band will occur?

X-rays of fixed wavelength yield a first-order maximum at a grazing angle of 12 $^{\circ}$ .At what angle would one expect to find the corresponding 3^rd order maximum?

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Light from a HeNe laser (632.8 nm wavelength) is directed upon a human hair,in an attempt to measure its diameter by examining the diffraction pattern.The hair is mounted in a frame 7.5 m from a wall and the central diffraction maximum is measured to be 14.6 cm wide.What is the diameter of the hair?

Increasing the wavelengths in a double-slit experiment has what effect on the position of maxima on a screen at fixed distance?

White light is shone on a very thin layer of mica (n = 1.57).When the mica layer is observed from the illuminated side,interference maxima for wavelengths of blue (480 nm) and yellow (560 nm)are observed.What is the thickness of the mica layer?

Wave 1 has amplitude of 9.0 units and wave 2 has amplitude 4.0 units.What is the ratio of their intensities,I₁/I₂?

For an angle of 10 degrees,what is the percent difference in sin $\theta$ and $\theta$ in radians?

When light of wavelength 700 nm is used in a single-slit diffraction pattern,the central maximum has a width of 3.5 cm.When the light source is replaced by one of wavelength 500 nm,what central width will result?

Coherent light of a single frequency passes through a double slit with a separation d,to produce a pattern on a screen as distance D from the slits.What would cause the separation between adjacent minima on the screen to increase?

When the slit width is doubled,what happens to the width of the central maximum in the diffraction pattern?

In a double-slit interference pattern,the third maximum from the central maximum corresponds to which value of m?