Light with wavelength a passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=2.4 m, d =1 mm and w = VAD.Give your answer in nanometers. Answer: Choose... +
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- Light of wavelength 563.0 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 86.5 cm from the slit. The distance on the screen between the fourth order minimum and the central maximum is 1.19 cm. What is the width a of the slit in micrometers?Light of wavelength 585.5 nm illuminates a slit of width 0.70 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.93 mm from the central maximum? Answer in m (b) Calculate the width of the central maximum. Answer in mmLight with wavelength å passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=2.5 m, d=1 mm and w = VAD. Give your answer in nanometers.
- Please explain each step....You shine monochromatic light with wavelength 720 nm through a slit that has a width of 0.750 mm and observe a diffraction pattern on a screen that is 3.60 m from the slit. The intensity at the center of the central maximum is Io = 7.80 W/m2. What is the intensity of the light at a point on the pattern that is halfway between the center of the central maximum and the first minimum of interference? The purple line in the figure shows the points that are halfway between the center of the central max. and the first min.Light of wavelength 613.0 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 81.5 cm from the slit. The distance on the screen between the fourth order minimum and the central maximum is 1.91 cm. What is the width ?a of the slit in micrometers (μm)?632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 21.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) μm A helium-neon laser (1 =
- 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.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?You illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the resulting diffraction pattern on a screen that is situated 2.27 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? W = cm
- Light with wavelength A passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Calculate the wavelength of light if D=2.3 m, d=1 mm and w = VAD. Give your answer in nanometers. Answer: Choose... +In a diffraction experiment the 1st order light (m = 1) from a diffraction grating is falling onto a single slit (see picture below). The light from the slit is then observed on a second screen and the measured width of the central diffraction peak is found to be 8 mm. Calculate the number of lines per millimetres of the grating. The distance from the slit to the second screen is 1.37 m, the distance from the diffraction grating to the screen with the slit is 5 m, the slit width is 0.25 mm and the distance from the middle of the screen with the slit to the slit is 10 mm..One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having glass plates on each end. A gas is slowly leaked into the cylinder until a pressure of 1 atm is reached. If 140 bright fringes pass on the screen when light of wavelength A=440nm is used, what is n, the index of refraction of the gas? State your answer to the nearest 0.000001 ( one part per million).