please help me answer the following questions

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A student and his lab partner create a single slit by carefully aligning two razor blades to a separation of 0.550 mm. When a helium-neon laser at 543 nm illuminates the slit, a diffraction pattern is observed on a screen 1.65 m beyond the slit. Calculate the angle dark to the first minimum in the diffraction pattern and the width of the central maximum. HINT Apply the condition for destructive interference for a single slit. Click the hint button again to remove this hint. (a) the angle dark to the first minimum in the diffraction pattern (in degrees) (b) the width of the central maximum (in m) m Need Help? Read It Show My Work (Optional) ? Submit Answer [-/1 Points] DETAILS SERCP11 24.7.P.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A screen is placed 52.4 cm from a single slit that is illuminated with light of wavelength 683 nm. If the distance between the first and third minima in the diffraction pattern is 2.90 mm, what is the width of the slit? mm Need Help? Read It*; Intense white light is incident on a diffraction grating that has 674 lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (Enter 1 for rst order, 2 for second order, etc.) E (b) What is the angular separation between the violet edge (400 nm) and the red edge (700 nm) of the first order spectrum produced by the grating? E Need Help? Show My Work (Gymkhana SERCP11 24.8.P.047. MY NOTE! Sunlight is incident on a diffraction grating that has 3,800 lines/cm. The second-order spectrum over the visible range (400-700 nm) is to be limited to 2.15 cm along a screen that is a distance L from the grating. What is the required value of L? Z... Need Help? . [11 Points] [-/1 Points] DETAILS SERCP11 24.4.P.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Nonreflective coatings on camera lenses reduce the loss of light at the surfaces of multilens systems and prevent internal reflections that might mar the image. Find the minimum thickness of a layer of magnesium fluoride (n = 1.38) on flint glass (n = 1.66) that will cause destructive interference of reflected light of wavelength 530 nm near the middle of the visible spectrum. nm Need Help? Read It