In young's double slit experiment the phase difference is...

In young's double slit experiment the phase difference is constant between two sources is $(\pi / 2)$. The intensity at a point equidistant from the slits in terms of max. intensity $\mathrm{I}_{0}$ is (A) $3 \mathrm{I}_{0}$ (B) $\left(\mathrm{I}_{0} / 2\right)$ (C) I_{0 } (D) $\left(3 \mathrm{I}_{0} / 4\right)$

In young's double slit experiment the phase difference is constant between two sources is $(\pi / 2)$. The intensity at a point equidistant from the slits in terms of max. intensity $\mathrm{I}_{0}$ is
(A) $3 \mathrm{I}_{0}$
(B) $\left(\mathrm{I}_{0} / 2\right)$
(C) I_{0 }
(D) $\left(3 \mathrm{I}_{0} / 4\right)$

Key Concepts

Young's Double-Slit Experiment

This experiment demonstrates the wave nature of light by showing that light from two closely spaced and coherent sources interferes to produce alternating bright and dark fringes. The setup relies on consistently phased light sources to create an interference pattern on a screen, which is fundamental in understanding how light waves can combine constructively or destructively.

Phase Difference

Phase difference refers to the difference in the phase of two waves when they meet at a point. It is a critical factor in determining the type of interference—whether the waves add up constructively or destructively. A constant phase difference between sources will influence the resultant amplitude and, consequently, the intensity pattern observed in an interference experiment.

Wave Superposition and Interference

The principle of superposition states that when two or more waves meet, their displacements add at every point. In interference phenomena, this means the amplitude of the resultant wave is the vector sum of the individual amplitudes, and the observed intensity is proportional to the square of this resultant amplitude. This concept is central to analyzing patterns and predicting intensity variations in experiments like Young's double-slit setup.

Intensity Distribution in Interference Patterns

The intensity at any point in an interference pattern depends on the phase difference between the interfering waves. When the amplitude contributions from different sources combine, the resulting intensity is given by the square of the sum of the amplitudes. Thus, knowing the phase difference allows one to calculate the resultant amplitude and predict the light intensity at various points on the observation screen.

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