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1) The table lists the range of wavelengths in vacuum corresponding to a given color. If one looks through a film that has a refractive index of 1.333 and thickness of 340 nm, which color will be 100% transmitted through the film?
2) The table lists the range of wavelengths in vacuum corresponding to a given color. Which one of these colors will produce a diffraction pattern with the widest central maximum, assuming all other factors are equal?
Colors:
red 780-622
orange 622-597
yellow 597-577
green 577-492
blue 492-455
violet 455-390

I don’t really understand how I would figure these out. SO if you could please explain to me how you got your answer and stuff that would be great thanks!

Vacuums

Q1) Light shines through a single slit whose width is 4.60 10-4 m. A diffraction pattern is formed on a flat screen located 3.2 m away. The distance between the middle of the central bright fringe and the first dark fringe is 6.50 mm. What is the wavelength of the light?
_______________ m

Q2) Astronomers have discovered a planetary system orbiting the star Upsilon Andromedae, which is at a distance 4.2 1017 m from the earth. One planet is believed to be located at a distance of 2.3 1011 m from the star. Using visible light with a vacuum wavelength of 550 nm, what is the minimum necessary aperture diameter that a telescope must have so that it can resolve the planet and the star?
_____________m

A flat screen is located 0.598 m away from a single slit. Light with a wavelength of 515 nm (in vacuum) shines through the slit and produces a diffraction pattern. The width of the central bright fringe on the screen is 0.0544 m. What is the width of the slit.

Please please please please could you help me and show me how you got the answer… i have a test coming up and i am really really trying to learn this material.. THANK you so much to whomever answers this!
someone…please =(

Vacuums

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Light of wavelength 407 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 10-5 m. The distance between the grating and the viewing screen is 0.13 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second-order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(θ) ~ sin(θ) can be used.)(b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y?

Vacuums

The width of the central bright fringe in a diffraction pattern on a screen is identical when either electron or light (vacuum wavelength = 512 nm) pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. How fast are the electrons moving?

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