A beam of white light is incident normally on a grating with 1,440 lines. per cm. The grating separates the light into its component colors. What is the angular separation of the first order red light (650 nm) and the second order blue light(450 nm) in degree? Enter a number with two digits behind the decimal point.
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- If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a difraction grating having 1500 lines per centimeter.
- The walls of a soap bubble have about the same index ofrefractionas that of plain water, n = 1.33. There is air both insideand outside the bubble. (a) What wavelength (in air) of visible light ismost strongly reflected from a point on a soap bubble where its wall is290 nm thick? To what color does this correspond ? (b) Repeat part (a) for a wall thickness of 340 nm.A thin oil slick with index of refraction no = 1.5 floats on water (index of refraction nw = 1.33). When a beam of white light strikes this film at normal incidence from air (na = 1), the only enhanced reflected colors are red (Ared = 653 nm) and violet (Aviolet = 392 nm). From this information, deduce the (minimum) thickness of the oil slick. Ruchlom 05.When you spread oil (noil = 1.50) on water (nwater = 1.33) andhave white light incident from above, you might observe differentreflected colors that depend on the thickness of the oil on thewater at each point. Consider the wavelength of red light (750.0nm) and the wavelength of violet light (380.0 nm), covering thevisible spectrum. What is the minimum possible thickness of oilthat would give rise to seeing...(a) the red light reflected?(b) the violet light reflected?
- 1.48, n2 1.46 is designed to Q2: A Multimode fiber with core diameter 50um, nl = transmit data over 10 km at wavelength = 6*10 m. a) Calculate the Maximum angle of the incident light into the fiber core which allows the light to propagate through fiber core. b) Find the minimum angle that supports total internal reflection. c) Calculate the bandwidth limitation. d) Calculate number of modes that propagate inside the fiber. e) Find the launching angle (0) of the first three modes of propagation for which the rays successfully travel along the fiber (assume the reflection coefficient phase 8=0°).A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.313 for the red end of the spectrum and 1.349 for the violet end and an apex angle of 71.8 degrees. If the ray has an angle of incidence of 60.3degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.two 7.50-cm-long glass slidesilluminated by pure 589-nm wavelength light incidentperpendicularly. The top slide touches the bottom slide at oneend and rests on some debris at the other end, forming awedge of air. How thick is the debris, if the dark bands are1.00 mm apart?
- A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^7 ? is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?A beam of monochromatic light is diffracted by a slit of width 0.605 mm. The diffraction pattern forms on a wall 1.38 m beyond the slit. The width of the central maximum is 1.75 mm. Calculate the wavelength of the light. 402.03 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. nm Need Help? Read ItA He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?