AIIMS2017Physics-Wave Optics

AIIMS 2017 Physics Interference MCQ Question

Type: MCQ-conceptual-Medium-Class 12

In the given Figure, C is the middle point of line S1S2S_1S_2. A monochromatic light of wavelength λ\lambda is incident on the slits. The ratio of intensities of S3S_3 and S4S_4

Question diagram
A

0

B

C

4:1

D

1:4

Correct Answer

Option B

Detailed Explanation

In the context of wave interference, the intensity at a point is proportional to the square of the amplitude of the wave at that point. If point S₁ experiences constructive interference (resulting in maximum amplitude) and point S₂ experiences destructive interference (resulting in minimum amplitude), the intensity ratio can be expressed as IS1:IS2=AS12:AS22I_{S_1} : I_{S_2} = A_{S_1}^2 : A_{S_2}^2. Given that AS2A_{S_2} approaches zero due to destructive interference, the intensity at S₂ becomes negligible, leading to an infinite ratio IS1:IS2=I_{S_1} : I_{S_2} = \infty. Options A (0) and C (4:1) are incorrect as they do not account for the nature of destructive interference, while option D (1:4) misrepresents the relationship between the amplitudes at the two points.

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