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JEE Main 20206 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Morning Shift
Subject
Physics
Chapter
Wave Optics

JEE Main 2020 · 6 September · Morning Shift · Physics · Wave Optics

In the figure below, P and Q are two equally intense coherent...

In the figure below, PP and QQ are two equally intense coherent sources emitting radiation of wavelength 20m.20m . The separation between PP and QQ is 5m5m and the phase of PP is ahead of that of QQ by 90°.A,B90 ° . A, B and C are three distinct point of observation, each equidistant from the midpoint of PQ. The intensities of radiation at A,B,CA, B, C will be in the ratio :

In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20m . The

Options

  1. A0:1:40: 1: 4
  2. B2:1:02: 1: 0
  3. C0:1:20: 1: 2
  4. D4:1:04: 1: 0

Correct answer

B. 2:1:02: 1: 0

Step-by-step solution

ΔPA=π2×202π−5=0soΔϕA=0\Delta{P}_{A} = \dfrac{\pi}{2} \times \dfrac{20}{2\pi} - 5 = 0\text{so}\Delta{ϕ}_{A} = 0

ΔPB=π2×202π=5soΔϕB=π2\Delta{P}_{B} = \dfrac{\pi}{2} \times \dfrac{20}{2\pi} = 5\text{so}\Delta{ϕ}_{B} = \dfrac{\pi}{2}

ΔPC=5+5=10so∆ϕc=π\Delta{P}_{C} = 5 + 5 = 10\text{so} ∆ ϕc = \pi

I=locos2Δϕ2I = {locos}^{2}\dfrac{\Deltaϕ}{2}

so IA=I0{I}_{A} = {I}_{0}

IB=I02{I}_{B} = \dfrac{{I}_{0}}{2}

Ic=0\text{Ic} = 0

so IA:IB:IC=2:1:0\text{IA}: {I}_{B}: {I}_{C} = 2: 1: 0

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