Parallel light of wavelength 730.4 nm is incident normally on a slit 0.3850 mm wide. A lens with a focal length of 50.0 cm is located just behind the slit bringing the diffraction pattern to focus on a white screen. Find the distance from the centre of the principal maximum to: 2 2 a. The second maximum b. The second minimum. Sm 8 =
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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?Laser light is shone onto two slits separated by a distance of 8.0mm. The light is shone onto a screen 5.7m away. The distance to the m=3 bright fringe measured from the central bright spot is 7.9cm. Find the wavelength of the laser in nm.Given a double slit set up with a spacing of 5.74*10-6m and the light has a wavelength of 618 nm: How far from the central maximum is the third dark fringe (m=2) when the distance between the slits and the screen is 5.00 meters? a) 1.40m b) 2.03m c) 1.30m d) 1.10m (Hint: answer is a)
- A light with wavelength λ = 565 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle θ = 3.25 degrees from the central maximum. a) Solve for the numerical value of d in mm.33. You have a laser (a monochromatic light source) and want to estimate the wavelength. You decide to use a reflective diffraction grating to do this. The light is incident on the grating at 20 degrees with respect to normal. Using a grating with a groove distance of 5 um, the first-order diffraction, is found at an angle of -12.5 degrees. Determine the wavelength of the source. a) 500 nm b) 628 nm c) 808 nm d) 946 nm e) None of the above 34. In Raman spectrometry, Stokes lines have a) lower energy than that of anti-Stokes scattering. b) equal energy to that of anti-Stokes scattering. ) higher energy than that of anti-Stokes scattering d) none of the above 35. Upon ionization of phenol in aqueous solution, maximal UV absorbance changes to longer wavelength. a) True b) False 36. It takes longer time to observe fluorescence than phosphorescence. a) True b) False 37. The vibrational motion of C-H stretching in ethylene as in the figure can be detected by a) IR. b) Raman. c) IR and Raman.…slit of width 0.46 mm is illuminated with light of wavelength 534 nm, and a screen is placed 114 cm in front of the slit. Find the widths of the first and second maxima on each side of the central maximum. w1 = mm (1st maxima) w2 = mm (2nd maxima)
- A lens with an index of refraction of 1.60 is to be coated with a material (n = 1.40) that will make the lens nonreflecting for yellow-orange light (λλ = 515 nm) normally incident on the lens. What is the minimum required thickness of the coating?A double slit experiment using 532 nm light produces an interference pattern with the 1st order maxima separated by an angle of 0.115° from the central maxima. At what distance away should a viewing screen be placed such that the 1st and 2nd order maxima are separated by 6.00 mm?