Can you please explain these questions how to solve

Thanks in advance

I would appreciate if you can explain the concept and the equation too.

1) 2) 3) 4) [1 pt) A diagram of the double slit experiment is shown. In this diagram the "path length difference\" is represented by a. d b. x c. L d- v . e. r; i ' ' [1 pt) If the light in the double-slit experiment ' . _ shown has a wavelength of 800 nm and the slit ' ' - _ _ .. . __ II, ,, spacing is 0.050 mm, at what angle does the .. ' ' _. first dark band appear? b- 0-92" sin6=l0.5){8e-7)!(5e-5}=0.003 c. 1.4\" d. 1.3\" e. 2.3\" [1 pt) A setup for thin lm interference is shown. Ray 1 contains light of wavelength 500 nm. If constructive interference occurs . - - modem I in between ray 2 and ray 3, what is the 9 path length difference between them? my 1 ray 2 a. 333 nm b. 370 nm 2 phase flips, so no correction needed Constructive: 0, A, 21, etc. d. 675 nm e. 750nm "If i I'm [1 pt) During which of the layers is 3039 lm light traveling the fastest? a\" _ 1 35 l a. Air | ' b. Soap lm m Glass c d. It travels at the same speed in n\" all three = 1.50