TS EAMCET · Physics · Wave Optics

In Young's double slit experiment using monochromatic light of wavelength $λ,$ the intensity of light at a point on the screen where the path difference is $\frac{1}{3}$ , is $I_{0 .}$ What is the intensity of light at a point where the path difference is $λ$ ?

A $2 I_{0}$
B $4 I_{0}$
C $\frac{I_{0}}{2}$
D $\frac{\sqrt{3}}{2} I_{0}$

Verified Solution

Answer & Solution

Correct Answer

(B) $4 I_{0}$

Step-by-step Solution

Detailed explanation

Recall the relation between phase difference corresponding to path difference λ is, Δϕ=2πλ×λ=2π, Now use the formula of intensity at the point having this phase difference 2π is, I=4I0cos2⁡ϕ2=4I0cos⁡2π22…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From TS EAMCET

Explore more questions on app

In Young's double slit experiment using monochromatic light of wavelength λ, the intensity of light at a point on the screen where the path difference is 13, is I0. What is the intensity of light at a point where the path difference is λ ?

Step-by-step Solution

In Young's double slit experiment using monochromatic light of wavelength $λ,$ the intensity of light at a point on the screen where the path difference is $\frac{1}{3}$ , is $I_{0 .}$ What is the intensity of light at a point where the path difference is $λ$ ?