Exam 33: Wave Optics

In a double-slit experiment,the slit separation is 2.0 mm,and two wavelengths,750 nm and 900 nm,illuminate the slits simultaneously.A screen is placed 2.0 m from the slits.At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

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,and a fringe pattern is observed on a screen 4.8 m from the slits.If there are 5.0 complete bright fringes per centimeter on the screen near the center of the pattern,what is the wavelength of the monochromatic light?

A single slit,which is 0.050 mm wide,is illuminated by light of 550 nm wavelength.What is the angular separation between the first two minima on either side of the central maximum?

A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away.The slit separation is 2464 nm.What is the distance between the third and fourth bright fringes away from the central fringe?

In a double-slit experiment,if the slit separation is increased,which of the following happens to the interference pattern shown on the screen?

In the figure,a slit 0.30 mm wide is illuminated by light of wavelength 426 nm.A diffraction pattern is seen on a screen 2.8 m from the slit.What is the linear distance on the screen between the first diffraction minima on either side of the central diffraction maximum?

Monochromatic laser light of frequency 5.20 × 10¹⁴ Hz is shown on a pair of thin parallel slits,and the pattern is viewed on a screen 1.20 m away.The fifth bright fringes (not counting the central fringe)occur at ±2.12 cm on either side of the central bright fringe.The entire apparatus is now immersed in a transparent liquid.When the experiment is repeated,the fifth bright fringes now occur at ±1.43 cm from the central bright fringe.(c = 3.00 × 10⁸ m/s) (a)How far apart are the slits? (b)What is the index of refraction of the liquid?

At most,how many bright fringes can be formed on each 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

A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen.The 5^th minimum occurs at 7.00° away from the central maximum.At what angle does the 18^th minimum occur?

Two small forward-facing speakers are 2.50 m apart.They are both emitting,in phase with each other,a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s.A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint.As she slowly walks parallel to the line connecting the speakers,at what angle θ (relative to the centerline coming outward from the midpoint between the speakers)will she first hear no sound?

Light passes through a pair of very thin parallel slits.The resulting interference pattern is viewed far from the slits at various angles θ relative to the centerline coming outward from the midpoint between the slits.The central bright fringe is at θ = 0°.If the central bright fringe has intensity I₀,what is the intensity of the next bright fringe on either side of it?

A single slit forms a diffraction pattern with monochromatic light.The 4th minimum of the pattern occurs at an angle of 35° from the central maximum.How many bright bands are on each side of the central maximum?

A diffraction grating is to be used to find the wavelength of the light in the emission spectrum of a gas.The grating spacing is not known,but a light having a known wavelength of 632.8 nm is deflected by 43.2° away from the central maximum in the second order by this grating.Light of the wavelength to be measured is deflected by 48.2° away from the central maximum in the second order.What is the wavelength of this light?

A He-Ne laser,which produces light of wavelength 632.8 nm,is used to calibrate a diffraction grating.If the first-order maximum occurs at 20.5° from the central spot,what is the distance between the slits of the grating?

A metallic sheet has a large number of slits,5.0 mm wide and 20 cm apart,and is used as a diffraction grating for microwaves.A wide parallel beam of microwaves is incident normally on the sheet.What is the smallest microwave frequency for which only the central maximum occurs? (c = 3.00 × 10⁸ m/s)

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

In the two-slit experiment,monochromatic light of frequency 5.00 × 10¹⁴ Hz passes through a pair of slits separated by 2.20 × 10^-5 m.(c = 3.00 × 10⁸ m/s) (a)At what angle away from the central bright spot does the third bright fringe past the central bright spot occur? (b)At what angle does the second dark fringe occur?

If the fifth order minimum in the diffraction pattern due to a thin slit is at 40° from the central maximum,at what angle does the first order minimum occur?

In a double slit experiment,the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits.At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

A light beam shines through a thin slit and illuminates a distant screen.The central bright fringe on the screen is 1.00 cm wide,as measured between the dark fringes that border it on either side.Which of the following actions would decrease the width of the central bright fringe? (There may be more than one correct choice.) A)increase the wavelength of the light B)decrease the wavelength of the light C)increase the width of the slit D)decrease the width of the slit E)put the apparatus all under water