Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Wave Optics

Question:

Two coherent waves are represented by $y_1 = a_1\, \cos ωt$ and $y_2 = a_2\, \cos(\frac{π}{2}-ωt)$. Their resultant intensity after interference will be

Options:

$a_1-a_2$

$a_1+a_2$

$a_1^2-a_2^2$

$a_1^2+a_2^2$

Correct Answer:

$a_1^2+a_2^2$

Explanation:

$y_1 = a_1\, \cos ωt;\,y_2 = a_2\, \cos(\frac{π}{2}-ωt)$

Since the two wave differ in phase by $\frac{p}{2}$

$y=a_1^2+a_2^2$