In a Young's double slit experiment using monochromatic light of wavelengths λ, the intensity of light at a point on the screen with a path difference…

Question

In a Young's double slit experiment using monochromatic light of wavelengths λ, the intensity of light at a point on the screen with a path difference λ is M units and the intensity of light at a point where the path difference is (λ)/3 is nM units. What is the value of n?

MARKS Content Team · Accepted Answer

Correct answer: 0.25. Resultant intensity I_R=I_1+I_2+2√I_1I_2cosθ If path difference, =λ then phase difference =2π ….∵ϕ=(2π)/(λ)×Δx ∴ I_R=I+I+2√(I×I)cos2π …..(∵I_1=I_2=I) =4I=M If path difference =(λ)/3 then phase difference =(2π)/(λ)×(λ)/3=(2π)/3rad IR'=I+I+2√(I×I)cos(2π)/3 =2I+2I(-1)/2=I=M/4=0.25M

In a Young's double slit experiment using monochromatic light of wavelengths $λ$ , the intensity of light at a point on the screen with a path difference $λ$ is $M$ units and the intensity of light at a point where the path difference is $\frac{λ}{3}$ is $n M$ units. What is the value of $n$ ?

Solution

More Wave Optics Questions

In a Young's double slit experiment using monochromatic light of wavelengths λ, the intensity of light at a point on the screen with a path difference λ is M units and the intensity of light at a point where the path difference is λ3 is nM units. What is the value of n?

Solution

More Wave Optics Questions

In a Young's double slit experiment using monochromatic light of wavelengths $λ$ , the intensity of light at a point on the screen with a path difference $λ$ is $M$ units and the intensity of light at a point where the path difference is $\frac{λ}{3}$ is $n M$ units. What is the value of $n$ ?