# In the figure below, $\text{P}\; \text{and}\; \text{Q}$ are two equally tense convert sources emitting radiation of wavelength 20 m. The seperation b/w $\text{P}\; \text{and}\; \text{Q}$ is 5 m and the phase of $\text{P}$ is ahead of that of $\text{Q}$ by  $90^{\circ}C$. $\text{A},\text {B}$ and $\text{C}$ are 3 distinct point of observation, each equidistant from the mid-point of $\text{PQ}$ The intransition of radiation at $\text{A},\text {B}$ and $\text{C}$  will be in ratio:-    Option: 1   Option: 2 Option: 3 Option: 4

$P A-Q A=P Q=5 m=\frac{20}{4}=\frac{\lambda}{4}=\Delta x$

$\phi^{\prime}=\frac{2 \pi}{\lambda} \Delta x=\frac{2 \pi}{\lambda} \cdot \frac{\lambda}{4}=\frac{\pi}{2}$

$Phase \ of \ Q is greater by \left(90^{\circ}=\frac{\pi}{2}\right) than P. \\Net phase difference \phi=\pi / 2-\pi / 2=0$

\begin{aligned} I_{net} &=I_{0}+I_{0}+2 \sqrt{I_{0}^{2}} \cos \phi \\ &=2 I_{0}+2 I_{0} \cos \phi \\ &=2 I_{0}(1+\cos \phi) \end{aligned}

$I_{A}=4 I_0$

At  $\phi=90^{\circ}=\pi / 2$

$I_{B}=2 I_0$

At C:

$P C-Q C=P Q=-5 m=-\frac{20}{4}=-\frac{\lambda}{4}=\Delta x$

$\phi^{\prime}=-\pi / 2$

$I_{A}: I_{B}: I_{C}=4 I_0: 2 I_0: 0=2: 1: 0$

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
##### Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-