How many Fringes get formed in Young Double Slit Experiment ?

Описание: How to find maximum fringe count in a Young Double Slit Experiment or the Highest order of Fringe that gets formed in young double slit experiment


एक Young डबल स्लिट प्रयोग में अधिकतम फ्रिंज गणना या युवा डबल स्लिट प्रयोग में बनने वाले फ्रिंज के उच्चतम क्रम को कैसे खोजें


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In Young’s Double-Slit Experiment (YDSE), the highest order fringe (bright or dark) is determined by the maximum possible value of mm, the fringe order, for which the interference condition still holds. This depends on the wavelength of the light (λλ), the distance between the slits (dd), and the angle of observation.


Condition for the Highest Order Bright Fringe

The condition for constructive interference (bright fringes) is given by:
d sin⁡θ=mλ


where:

d is the distance between the slits,
θ is the angle of the fringe relative to the central maximum,
λ is the wavelength of light,
m is the order of the fringe (an integer representing the number of wavelengths by which the path difference differs).

Since sin⁡θs cannot exceed 1, the highest possible order maxmmax​ for which a bright fringe is formed occurs when sin⁡θ=1
mmax=d /λ
​
Calculating the Maximum Order

To find the actual integer value of m(max), take the largest integer that is less than or equal to d λ​.
This represents the highest order bright fringe observable on the screen, limited by the physical constraint sin⁡θ≤1sinθ≤1.