Light of wavelength 425 nm (in vacuum) is incident on a diffraction grating that

Question

Light of wavelength 425 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 times 10^-5 m. The distance between the grating and the viewing screen is 0.19 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. (b) If the entire apparatus is submerged in water (n_water = 1.33), what is the distance y? (a) y = (b) y =

Explanation / Answer

dsintheta = m*lambda

tan theta = y/L

theta is small so tan theta =sin theta

d*y/L = m*lambda

m = 2

y = 0.013458 m

part b )

now the entire apparatus is submerged in water

lambda' = lambda/n

y = m*lambda'*L/d

y = 0.01012 m

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