In a Young's experiment,two coherent sources | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The distance of the $n^{th}$ dark fringe from the central fringe is given by the formula: $x_n = \frac{(2n - 1) \lambda D}{2d}$ For the second dar

Vedclass · Accepted Answer

$6 	imes 10^{-5} \, cm$

Vedclass · Answer

(D) The distance of the $n^{th}$ dark fringe from the central fringe is given by the formula: $x_n = \frac{(2n - 1) \lambda D}{2d}$ For the second dark fringe $(n = 2)$: $x_2 = \frac{(2 	imes 2 - 1) \lambda D}{2d} = \frac{3 \lambda D}{2d}$ Given: $x_2 = 1 \, mm = 1 	imes 10^{-3} \, m$,$D = 1 \, m$,and $d = 0.90 \, mm = 0.9 	imes 10^{-3} \, m$. Substituting the values: $1 	imes 10^{-3} = \frac{3 	imes \lambda 	imes 1}{2 	imes 0.9 	imes 10^{-3}}$ $1 	imes 10^{-3} = \frac{3 \lambda}{1.8 	imes 10^{-3}}$ $3 \lambda = 1.8 	imes 10^{-6}$ $\lambda = 0.6 	imes 10^{-6} \, m = 6 	imes 10^{-7} \, m = 6 	imes 10^{-5} \, cm$.

In a Young's experiment,two coherent sources are placed $0.90 \, mm$ apart and the fringes are observed one metre away. If it produces the second dark fringe at a distance of $1 \, mm$ from the central fringe,the wavelength of monochromatic light used would be

Similar Questions

In a Young's double-slit experiment,the fringe width is $0.8 \, mm$ when light of wavelength $6000 \, \mathring{A}$ is used,and the screen is at a distance of $2.5 \, m$. If the experiment is performed in a liquid with a refractive index of $1.6$,the new fringe width will be.....$mm$.

In a Young's double-slit experiment,the distance between the two sources is $0.1 / \pi \, mm$. The distance between the source and the screen is $25 \, cm$. The wavelength of light is $5000 \, \mathring{A}$. The angular position of the first dark fringe is ........$^o$.

In Young's double slit experiment,the seventh maximum with wavelength $\lambda_1$ is at a distance $d_1$ from the central maximum,and the same maximum with wavelength $\lambda_2$ is at a distance $d_2$. Then $d_1/d_2$ is:

In a Young's double-slit interference experiment,a monochromatic beam of light is used to form fringes on a screen. When a thin mica sheet is placed in the path of one of the interfering beams,then...

In Young's double slit experiment,the phase difference between the light waves reaching the third bright fringe from the central fringe is: $(\lambda = 6000 \ \mathring{A})$

Vedclass Test Series

Exam Paper Generator

Online Exam Module