Interference of light Assignment Help

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When two waves of exactly same frequency (coming from two coherent sources) travels in a medium, in the same direction simultaneously then due to their superposition, at some position intensity of light is maximum while at some other points intensity is minimum. This process is known as Interference of light. It is following two types

1. Constructive interference : When the waves meets a point with same phase, constructive intererence is obtained at that point (i.e. maximum light)

(i) Phase difference between the waves at the point of observation Φ = 0 or 2n∏

(ii) Path difference between the waves at the point of observation Δ = nλ (i.e. even multiple of λ/2 )

(iii) Resultant amplitude at the point of observation will be maximized Amax = a1+a2

If a1=a2=a1061_Dispersion of light4.png  Amax = 2a0

(iv) Resultant intensity at the point of observation will be maximum 

42_Interference of light1.png

2. Destructive interference: When the wave meets a point with opposite phase, destructive interference is obtained at that point (i.e. minimum light)

(i) Phase difference 1546_Interference of light2.png

(ii) Path difference 2151_Interference of light3.png  (i.e. odd multiple of )

(iii) Resultant amplitude at the point of observation will be minimized Amin = a1-a2

If a1=a2=a0 1061_Dispersion of light4.png  Amin = 0

(iv) Resultant intensity at the point of observation will be minimum

2069_Interference of light4.png

3. Super position of waves of random phase difference: When two waves (or more waves) having random phase difference between them super impose, then no interference pattern is produced. Then the resultant intensity is just the sum of the two intensities. 152_Interference of light5.png 

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