Question 231: Wave Optics

Question

Graph shows the variation of fringe width ( X ) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, $d=$ distance between the slits). The wavelength of light used can be calculated as

Accepted Answer

The formula for fringe width in Young's double slit experiment is:
$$X = \frac{\lambda D}{d}$$
Here, $X$ is the fringe width, $\lambda$ is the wavelength, $D$ is the distance from the slits to the screen, and $d$ is the distance between the two slits.
The graph shows how $X$ (fringe width) changes with $D$ (distance to the screen). This means the slope of the graph is $\frac{X}{D}$.
From the formula above, if we write it as $\frac{X}{D} = \frac{\lambda}{d}$, we see that the slope of the graph equals $\frac{\lambda}{d}$.
So, you can calculate $\lambda$ (wavelength) using:
$$\lambda = 	ext{slope} 	imes d$$
Here, Ã¢ÂÂslopeÃ¢ÂÂ means the value you get from the graph ($\frac{X}{D}$), and $d$ is the distance between the slits.

Answer

slope $	imes \mathrm{d}^2$

Answer

$\frac{\mathrm{d}}{	ext { slope }}$

Answer

$\frac{	ext { slope }}{\mathrm{d}}$

Answer

slope $	imes \mathrm{d}$

Wave Optics

Graph shows the variation of fringe width ( X ) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, d= distance between the slits). The wavelength of light used can be calculated as

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