A Young's slits experiment is set up in which two narrow slits, of separation d, are illuminated by light of wavelength A. The diffraction pattern is viewed on a screen at a distance D. Derive expressions for the intensity distribution on the screen and the separation of the fringes. If D = 1 m, 1 = 600 nm, and the distance from the centre of the fringe pattern to the 10th bright band on one side is 30 mm, calculate the separation d of the slits. A film of transparent material is placed over one of the slits, and the displacement of the centre of the fringe pattern is observed to be 30 mm. Calculate the refractive index of the material if its thickness is 20 um.

A hydrogen gas discharge lamp is used as a coherent light source illuminating NN slits in a barrier with a slit separation of 28 μmμm. The interference pattern is projected on a screen 2.00 m from the barrier. The first-order principal maxima to one side of the central maximum. The number of slits is sufficiently large that the individual lines are sharp and widely separated. Note that there are four different colors appearing in the source, violet is the color closest to the central maximum. λ=656λ=656 nm (red) λ=486λ=486 nm (cyan) λ=434λ=434 nm (blue-violet) λ=410λ=410 nm (violet) The blue-violet line is thin and somewhat faint, and it may be difficult to see without enlarging the figure. When viewing multiple orders of the interference pattern, the color sequence may change due to the interleaving of the different orders. 1. Using the values given in the problem statement, what is the distance along the screen, in centimeters, from the the central maximum to the first line?  2.…

In a Young's double-slit experiment, the seventh dark fringe is located 0.033 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.5 x 104 m. What is the wavelength of the light being used? Seventh dark fringe Number i Double slit Units 0 Central bright fringe Seventh dark fringe Screen

In Young's double-slit experiment, two slits are separated by 5.0 mm and illuminated by light with a wavelength of 480 nm. The screen is 3.0 m from the plane of the slits. Calculate the separation between the eighth bright fringe and the third dark fringe observed with respect to the central bright fringe

Light of wavelength 588.2 nm illuminates a slit of width 0.63 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.86 mm from the central maximum? (b) Calculate the width of the central maximum. Step 1 (a) As shown in the figure, dark bands or minima occur where sin 0 = m(2/a). For the first minimum, m = 1 and the distance from the center of the central maximum to the first minimum is y₁ = L tan 8, where L is the distance of the viewing screen from the slit. 32 sin dark = 22/a 31 sin dark = λ/a HE 0 -1 sin dark = -λ/a -2 sin dark = -22/a Viewing screen a Because is very small, we can use the approximation tan sin 0 = m(2/a). Substituting the approximation and solving for the distance to the screen, we have 6.3 x 10 m ³ m ) (₁ L = = y ₁ ( ² ) = x 10-3 m x 10-⁹ m m.

In a double-slit experiment the distance between slits is 5.8 mm and the slits are 0.83 m from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength 430 nm, and the other due to light of wavelength 550 nm. What is the separation in meters on the screen between the m = 4 bright fringes of the two interference patterns? Number Units the tolerance is +/-5%

Consider a variety of colors of visible light (say 400 nm to 700 nm) falling onto a pair of slits. a) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for some visible light?  b) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for all visible light?

In a Young's double-slit experiment, the seventh dark fringe is located 0.028 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.7 × 10-4 m. What is the wavelength of the light being used? Seventh dark fringe Number i Double slit Units 0 Central bright fringe Seventh dark fringe Screen

Problem 6: We use 633-nm light from a He-Ne laser to demonstrate Young's double-slit experiment. The interference pattern will be projected on a wall that is 5.0 m from the slits. We want the distance between the m=0 and m=1 maxima to be 25 cm. What slit separation is required to produce the desired interference pattern?

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