Question

A helium-neon laser ( |
What is the spacing between slits of the grating? |

Answer #1

condition for bright fringe in diffraction

a*sintheta = (m + 1/2 ) *lambda

m = 1 , 2 , 3

for small angle

sintheta = tantheta = y/R

a*y/R = (m + 1/2 ) *lambda

y = (m + 1/2 ) *lambda*R/a

for m = 1

y1 = (3/2)*lambda*R/a

distance between two m = 1 bright fringes , d = 2*y1

given d = 30 cm = 0.3 m

R = 1.5 m

a = spacing between slits = ?

wavelength lambda = 633*10^-9 m

0.3 = 2*(3/2)*633*10^-9*1.5/a

spacing between slits a = 9.495*10^-6 m

DONE please check the answer. any doubts post in comment box

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