4. A thin film of oil is on a puddle of water. Light of wavelength 635nm hits the thin film. What minimum thickness of oil will give constructive interference of the reflected light? nair=1.00, no=1.50, water = 1.33
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- 1)A red low-power laser with λ = 634nm was beamedat a double-slit grating. An interference patternappeared on a screen 2.50 m from the grating. Thedistance from central spot to the next bright spotwas 22.5cm.What is the spacing between the slits in the grating? 2. The red laser (in Q1) is replaced by a blue laserwith a shorter wavelength. All else is the same.Show mathematically whether the interferencepattern it produces will place the bright spots closeror further apart. 3.Given that the blue laser in Q2 has a wavelength of445 nm, calculate the “spot-spacing” for the sameslit grating and screen distance as in Q1. 4.A green laser beam produces spots which are0.334m apart (central to m=1) when a grating is usedwith slits 3,000 nm apart and a screen 1.90m away.What is the wavelength of the laser light?4. A single slit of width 0.21 mm is illuminated with monochromatic light of wavelength 635 nm, and a diffraction pattern is formed on a screen 2.00 m away from the slit. What is the width of the bright fringe adjacent to the central maximum? cm7. Find the angle 0 at which the diffraction dark fringes are formed when light of wavelength 2 is sent through a slit of width a. A a sino=k2. B a sin=(2k+1)2. C a sino=2k2. D a sin=(2k+1)2/2.
- 8. Coherent light of wavelength 501.5 nm is sent through two GP parallel slits in an opaque material. Each slit is 0.700 um wide. Their centers are 2.80 um apart. The light then falls on a semicylindrical screen, with its axis at the midline between the slits. We would like to describe the appearance of the pattern of light visible on the screen. (a) Find the direction for each two-slit interference maximum on the screen as an angle away from the bisector of the line joining the slits. (b) How many angles are there that represent two-slit inter- ference maxima? (c) Find the direction for each single-slit interference minimum on the screen as an angle away from the bisector of the line joining the slits. (d) How many angles are there that represent single-slit interference minima? (e) How many of the angles in part (d) are identical to those in part (a)? (f) How many bright fringes are visible on the screen? (g) If the intensity of the central fringe is Imas what is the intensity of the…1. A diffraction grating has N lines per centimeter and is placed 2.19 m away from a screen. Sunlight shines on the diffraction grating, incident along the normal, and we observe the spectrum of the sun, where light of many wavelengths are separated on the screen. We see the 1st order appearance of the Halpha line (656.28 nm) at a position 11.5 cm away from the central maximum. a) How many lines per centimeter does this diffraction grating have? N = ________________________ b) How far (in cm) from the central maximum would the first-order H-gamma line (434.0472 nm) appear? ________________________ c) What is the angular separation between the second-order H-alpha and H-gamma lines? ________________________ d) Find the wavelength(s) of visible light that would have maxima at a point on the screen 37.4 cm from the central maximum?. Two narrow slits are separated by a distance of 1.2x 10-4 m. They are illuminated by the light from a sodium lamp having wavelength of 589 nm. Calculate the angular position of the first-order maximum in the interference pattern. If the light is intercepted by a photographic film placed at a distance of 2 m from the slits, calculate the distance between the resulting maximum and the central maximum on the film.
- You can observe thin-film interference by dipping a bubble wand into some bubble solution and holding the wand in the air. What is the thickness of the thinnest soap film at which you would see a black stripe if the light illuminating the film has a wavelength of 540 nm? Hint: use n = 1.33.A Young's interference experiment is conducted with orange argon laser light ( 1 = 600 nm). The separation between the slits is 0.30 mm, and the interference pattern appears on a screen 4.5 m away. What is the spacing between the bright fringes? (1 nm = m) 10 а. 1.0Е+4 m b. 2.7E–3 m с. 9.0Е-3 m d. 1.8E–2 m е. 1.8E-2 m3. The glass plates in the figure are separated by a thin round filament. When the top plate is illuminated normally with a light of wavelength 595 nm, the filament lies directly below the fourteenth order bright fringe. What is the diameter of the filament?
- A thin film of oil is on water. What is the thinnest that the oil can be to have constructive interference on reflection? The wavelength of the light in air is 480nm. Assume the beam starts in air. [n =1.00 ,n =1.50 , nwaer =1.33]A thin film of oil (n 1.45) is floating on a water surface (n = 1.33) and is illuminated from above by monochromatic light (A = 590 nm). For what thickness of the oil film will the reflected light be bright? (in nm) = OA: 48.3 OB: 60.4 OC: 75.5 OD: 94.4 OE: 118.0 OF: 147.5 OG: 184.4 OH: 230.5Light with λ = 650 n m is incident on 2 slits, each with a width of 0.25 mm and separated by 0.75 mm b. What is the distance from the central maximum to the first order maximum created by the double slits if the screen is 1.2 m away?