2) A parallel beam of light of single wavelength is incident on a diffraction grating as shown atrightcircular pathtelescopeparallel beam oflight of a singlewavelengthstraight throughdirectiongratingThe different orders in the interference pattern produces are obsevened using a smalltelescope which can be move in a circuar path aroudn the gratinga) The diffraction grating has 500 lines per mm. Determine the distance between adjacentslits for this grating.b) The wavelength of the light is 660 nm. Calculate the angle 0 at which the first ordermaximum is observed.c) Explan why only three orders are visible on either side of the central maxmimum in thisarrangement.

Answered: 2) A parallel beam of light of single…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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2) A parallel beam of light of single wavelength is incident on a diffraction grating as shown at
right
circular path
telescope
parallel beam of
light of a single
wavelength
straight through
direction
grating
The different orders in the interference pattern produces are obsevened using a small
telescope which can be move in a circuar path aroudn the grating
a) The diffraction grating has 500 lines per mm. Determine the distance between adjacent
slits for this grating.
b) The wavelength of the light is 660 nm. Calculate the angle 0 at which the first order
maximum is observed.
c) Explan why only three orders are visible on either side of the central maxmimum in this
arrangement.

Expert Solution

Step 1

$n u m b e r o f l i n e s p e r m m = 500 n u m b e r o f l i n e s p e r m = 500 * 1000 = 500000 m$

Step 2

$A) d i s \tan c e b e t w e e n a d j a c e n t s l i t s (d) = 1 / N = 1 / 500000 = 2 * 10^{- 6} m B) w a v e l e n g t h = 660 n m u \sin g, n * w a v e l e n g t h = d \sin (t h e t a) 1 * 660 * 10^{- 9} = 2 * 10^{- 6} * \sin (θ) \sin θ = 0.33 θ = 19.27 d e g r e e$

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