The ratio of intensities of rays emitted from two different...

The ratio of intensities of rays emitted from two different coherent Sourees is $\alpha .$ For the interference pattern by them, $\left[\left(I_{\max }+I_{\min }\right) /\left(I_{\max }-I_{\min }\right)\right]$ will be equal to (A) $\{(1+\sqrt{\alpha}) / 2 \alpha\}$ (B) $\{(1+\alpha) / 2 \alpha\}$ (C) $\{(1+\sqrt{\alpha}) / 2\}$ (D) $\{(1+\alpha) /(2 \sqrt{\alpha})\}$

The ratio of intensities of rays emitted from two different coherent Sourees is $\alpha .$ For the interference pattern by them, $\left[\left(I_{\max }+I_{\min }\right) /\left(I_{\max }-I_{\min }\right)\right]$ will be equal to
(A) $\{(1+\sqrt{\alpha}) / 2 \alpha\}$
(B) $\{(1+\alpha) / 2 \alpha\}$
(C) $\{(1+\sqrt{\alpha}) / 2\}$
(D) $\{(1+\alpha) /(2 \sqrt{\alpha})\}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Coherent Sources

Coherent sources are light waves (or other waves) that maintain a constant phase difference and have the same frequency, allowing them to produce a stable and predictable interference pattern. This coherence is essential in experiments such as interference and diffraction, where predictable constructive and destructive interference leads to bright and dark fringes.

Amplitude-Intensity Relationship

The amplitude of a wave is related to its intensity by the square law, meaning that the intensity is proportional to the square of the amplitude. This relationship is crucial in interference phenomena because when two waves superpose, the resulting amplitude is determined by the vector sum of the individual amplitudes, and the observed intensity depends on this combined amplitude.

Constructive and Destructive Interference

In interference patterns, constructive interference occurs when waves add in phase, leading to maximum amplitude (Imax), while destructive interference happens when waves are out of phase, leading to minimum amplitude (Imin). The formulas Imax = (A1 + A2)² and Imin = (A1 - A2)², where A1 and A2 are the amplitudes of the individual waves, are derived from this principle, and they are used to analyze the fringe visibility and intensity ratios in interference experiments.

Please give Ace some feedback