The young's double slit experiment is performed with blue...

The young's double slit experiment is performed with blue and with green light of wavelengths $4360 \AA$ and $5460 \AA$ respectively. If $\mathrm{x}$ is the distance of $4^{\text {th }}$ maxima from the central one, then (A) $\mathrm{X}_{\text {blue }}=\mathrm{X}_{\text {green }}$ (B) $\mathrm{X}_{\text {blue }}>\mathrm{X}_{\text {green }}$ (C) $\mathrm{X}_{\text {blue }}<\mathrm{X}_{\text {green }}$ (D) none of these

The young's double slit experiment is performed with blue and with green light of wavelengths $4360 \AA$ and $5460 \AA$ respectively. If $\mathrm{x}$ is the distance of $4^{\text {th }}$ maxima from the central one, then
(A) $\mathrm{X}_{\text {blue }}=\mathrm{X}_{\text {green }}$
(B) $\mathrm{X}_{\text {blue }}>\mathrm{X}_{\text {green }}$
(C) $\mathrm{X}_{\text {blue }}<\mathrm{X}_{\text {green }}$
(D) none of these

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Key Concepts

Young's Double Slit Experiment

This experiment demonstrates the interference of coherent light waves from two slits, resulting in a pattern of bright and dark fringes on a screen. It is a fundamental demonstration of the wave nature of light and introduces concepts such as coherence, phase difference, and interference.

Constructive Interference

Constructive interference occurs when the path difference between two waves is an integral multiple of the wavelength, producing bright fringes or maxima. In the context of the double slit experiment, the positions of these maxima directly depend on the wavelength of the light used.

Fringe Separation

Fringe separation refers to the distance between consecutive bright fringes on the screen and is given by the formula proportional to the wavelength of the light. A larger wavelength produces a greater fringe separation, while a shorter wavelength results in a smaller separation.

Wavelength Dependence

The wavelength of light plays a key role in determining the position of interference fringes. When comparing two different wavelengths in the same experimental setup, the fringe corresponding to the longer wavelength will be farther apart, leading to wider spacing in the interference pattern.

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