Question : In a Young's double slit experiment, two light waves, each of intensity I₀, interfere at a point, having a path difference λ/8 on the screen. Find the intensity at this point.
Doubt by Japjee
Solution :
I1=I2=I₀
Path difference (p)=λ/8
Phase difference (Φ)
=[2π/λ]×p
=[2π/λ]×λ/8
= π/4
Phase difference (Φ)
=[2π/λ]×p
=[2π/λ]×λ/8
= π/4
We know,
I=2I₀[1+cosΦ]
I=2I₀[1+cosπ/4]
I=2I₀[1+cosΦ]
I=2I₀[1+cosπ/4]
I=2I₀[1+1/√2]
I=2I₀[(√2+1)√2]
I=√2I₀(√2+1)
I=√2I₀(√2+1)
I=I₀ (2+√2)
I=I₀ (2+1.414)
I=I₀ (3.414)
I=3.414I₀
I= 3.41I₀ (approx)
I=I₀ (2+1.414)
I=I₀ (3.414)
I=3.414I₀
I= 3.41I₀ (approx)
