Skip to content
dronacharya.ai
← JEE Main 2022 · 27 Jul · Shift 2
PhysicsSingle correct+4 / -1Question 46 of 90

JEE Main 2022 · 27 Jul · Shift 2, Physics question 46

Two coherent sources of light interfere. The intensity ratio of two sources is 1 : 4. For this interference pattern if the value of Imax⁡+Imin⁡Imax⁡−Imin⁡\dfrac{I_{\max}+I_{\min}}{I_{\max}-I_{\min}} is equal to 2α+1β+3\dfrac{2\alpha+1}{\beta+3}, then αβ\dfrac\alpha\beta will be :

Choose one option
Answer and worked solution

Official answer: B

Amplitudes in ratio 1 : 2, so Imax⁡:Imin⁡=9:1I_{\max}:I_{\min}=9:1 and Imax⁡+Imin⁡Imax⁡−Imin⁡=54\frac{I_{\max}+I_{\min}}{I_{\max}-I_{\min}}=\frac54.

Match. 2α+1β+3\frac{2\alpha+1}{\beta+3} with α=2\alpha=2, β=1\beta=1, so αβ=2\frac\alpha\beta=2.

(B)