In young's double slit experiment if the width of 3^rd fringe is 10^-2 cm, then the width of 5

step 1 Okay in this question we are asked that in young double slip experiment if the width of third fr

In young's double slit experiment if the width of 3^rd ...

In young's double slit experiment if the width of $3^{\text {rd }}$ fringe is $10^{-2} \mathrm{~cm}$, then the width of $5^{\text {th }}$ fringe will be $\mathrm{cm} .$
(A) $10^{-2}$
(B) $5 \times 10^{-2}$
(C) $2 \times 10^{-2}$
(D) $10^{+2}$

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Key Concepts

Interference Condition

The formation of the interference pattern relies on the condition for constructive interference, which requires that the path difference between light waves from the two slits be an integer multiple of the wavelength (m?). This condition helps determine the positions of the bright fringes across the screen and underpins the uniformity of fringe spacing in the experiment.

Fringe Spacing

Fringe spacing, or fringe width, is the constant distance between successive bright (or dark) fringes in the interference pattern. It is calculated using the formula ? = (?D)/d, where ? is the wavelength of light, D is the distance between the slits and the screen, and d is the separation between the slits. This constant spacing is crucial in analyzing the pattern, as it shows that every fringe maintains the same width irrespective of its order.

Young's Double-Slit Experiment

This experiment demonstrates the wave nature of light by showing how light passing through two closely spaced slits can produce an interference pattern. The resulting pattern of alternating bright and dark fringes arises from the constructive and destructive interference of light waves, a foundational concept in wave optics.

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