(C) The position of the $n^{\text{th}}$ bright fringe for wavelength $\lambda_1$ is given by $y_n = \frac{n \lambda_1 D}{d}$.The position of the $m^{\

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(C) The position of the $n^{\text{th}}$ bright fringe for wavelength $\lambda_1$ is given by $y_n = \frac{n \lambda_1 D}{d}$.The position of the $m^{\text{th}}$ dark fringe for wavelength $\lambda_2$ is given by $y_m = \frac{(2m-1) \lambda_2 D}{2d}$.Since the fringes coincide,we equate their positions:$\frac{n \lambda_1 D}{d} = \frac{(2m-1) \lambda_2 D}{2d}$.Canceling $D$ and $d$ from both sides,we get:$n \lambda_1 = \frac{(2m-1) \lambda_2}{2}$.Rearranging to find the ratio $\frac{\lambda_1}{\lambda_2}$:$\frac{\lambda_1}{\lambda_2} = \frac{2m-1}{2n}$.

Class 12 Physics Wave Optics Young's Double Slit Experiment (YDSE)

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In an interference experiment,the $n^{\text{th}}$ bright fringe for light of wavelength $\lambda_1$ $(n=0, 1, 2, 3, \ldots)$ coincides with the $m^{\text{th}}$ dark fringe for light of wavelength $\lambda_2$ $(m=1, 2, 3, \ldots)$. The ratio $\frac{\lambda_1}{\lambda_2}$ is

MHT CET 2024 All MHT CET

A
$\frac{m-1}{n}$
B
$\frac{2m-1}{n}$
C
$\frac{2m-1}{2n}$
D
$\frac{2m+1}{2n}$

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Young's Double Slit Experiment (YDSE)

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In an interference experiment,the $n^{\text{th}}$ bright fringe for light of wavelength $\lambda_1$ $(n=0, 1, 2, 3, \ldots)$ coincides with the $m^{\text{th}}$ dark fringe for light of wavelength $\lambda_2$ $(m=1, 2, 3, \ldots)$. The ratio $\frac{\lambda_1}{\lambda_2}$ is

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In an interference experiment, the third bright fringe is obtained at a point on the screen with light of wavelength $700 \, nm$. What should be the wavelength of the light source in order to obtain the $5^{th}$ bright fringe at the same point (in $nm$)?

$A$ beam of monoenergetic electrons,which have been accelerated from rest by a potential $U$,is used to form an interference pattern in a Young's double slit experiment. The electrons are now accelerated by potential $4U$. Then,the fringe width

The figure shows a schematic diagram of the arrangement of Young's Double Slit Experiment. If the distance $d$ is varied,then identify the correct statement.

In a Young's double-slit experiment,the slits are separated by $0.28 \; mm$ and the screen is placed $1.4 \; m$ away. The distance between the central bright fringe and the fourth bright fringe is measured to be $1.2 \; cm$. Determine the wavelength of light used in the experiment (in $nm$).

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