1. The light with the wavelength 500nm propagates through the medium with index

Question

1. The light with the wavelength 500nm propagates through the medium with index of refraction 2.5. Find the speed and the frequency of the light in the medium.

(Answer: 1.2*10^8m/s; 6*10^14 1/s)
2. A diffraction grating is illuminated with light if wavelength 500nm. It produces the first minimum at 45 degree. Find the number of lines(slits) per mm of diffraction grating.

(answer: 1414 lines/mm)
3. A double spit experiment is performed with light of wavelength 600nm. A very wide viewing screen is 2 m behind the grating. What is the distance between the two m=2 bright fringes on the screen? The slit separation is 0.1 mm.

(answer: 48 mm)

Thank you so much and please show me step by step

Explanation / Answer

previously i had done a mistake, now i am corrected. d = 500 nm n = 2.5 We know that v = c / n = 3 x 10^8 / 2.5 = 1.2 x 10^8 m/s f = c / d = 3.0 x 10^8 / 500 x 10^-9 = 6.0 x 10^14/s

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