A monochromatic beam of light is sent through each of the followingsix optical s

Question

A monochromatic beam of light is sent through each of the followingsix optical slides. Rank these scenarioson the basis of the angle of the first interferencemaximum. rank from argest smallest ...if equal overlap them. Should be 4 spots. Exmple: A>B>C=F> D=E (4 available spaces)

a. double-slit withspacing 0.02 mm

b.diffractiongrating with 500 lines/cm

c. single-slit slidewith width 0.04 mm

d. diffractiongrating with 1000 lines/cm

e.single-slit withwidth 0.01 mm

f. double-slit withspacing 0.08 mm

Explanation / Answer

apply dsin theta = mL

so sin theta = mL/d

for a given wavelgnth when m =1, sin theta is inversly proportional to slit width d

so here

A. d = 0.02 mm

B. d = 1/500 = 0.002cm or 0.02 mm

C. d = 0.04 mm

D. d= 1/1000 = 0.001 cm or 0.01mm

e. d= 0.01mm

f. d = 0.08 mm

so as angle is less for large angle and vice versa

so here order would be

E = D > A= B > C > F

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