PLEASE ANSWER ALL!!!! 1. Analysis of an interference effect in a clear solid shows that the wavelength of light in the s

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PLEASE ANSWER ALL!!!!
1. Analysis of an interference effect in a clear solid shows
that the wavelength of light in the solid is 409.7 nm. Knowing this
light comes from a He-Ne laser and has a wavelength of 633 nm in
air, determine the index of refraction of the material.
2.At what angle is the first-order maximum for 450-nm wavelength
blue light falling on double slits separated by 0.074 mm?
3.When shined through a pair of slits which are 3.52 micrometers
apart, an interference pattern is created at which the third dark
fringe appears at an angle of 50 degrees from the central bright
spot. Based on this information, what is the wavelength of the
light which is passing through the slits?
4. What is the highest-order maximum for 498-nm light falling on
double slits separated by 27.8 micrometers?
5.If the first-order maximum for pure-wavelength light falling
on a double slit is at an angle of 18.5 , at what angle is the
second-order maximum?
6. Calculate the distance between fringes for 534-nm light
falling on double slits separated by 0.0800 mm, located 2.4 m from
a screen.
7. A diffraction grating has 2,998 lines per centimeter. At what
angle will the first-order maximum be for 602-nm-wavelength
light?
8.At what angle is the first minimum for 630-nm light falling on
a single slit of width 1.069 micrometers?
9. What is the maximum number of lines per centimeter a
diffraction grating can have and produce a complete first-order
spectrum for visible light? Assume that the visible spectrum
extends from 380 nm to 750nm.