In a Young's double-slit experiment,the slits | vedclass

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

Question

(D) Let the $n^{th}$ bright fringe of the first wavelength coincide with the $m^{th}$ bright fringe of the second wavelength.For bright fringes,the po

Vedclass · Accepted Answer

$4.5$

Vedclass · Answer

(D) Let the $n^{th}$ bright fringe of the first wavelength coincide with the $m^{th}$ bright fringe of the second wavelength.For bright fringes,the position $y$ is given by $y = \frac{n \lambda_1 D}{d} = \frac{m \lambda_2 D}{d}$.Thus,$\frac{n}{m} = \frac{\lambda_2}{\lambda_1} = \frac{9000 \, \mathring{A}}{7500 \, \mathring{A}} = \frac{6}{5}$.The first point of coincidence occurs at $n = 6$ and $m = 5$.The distance $y$ from the central maximum is $y = \frac{n \lambda_1 D}{d} = \frac{6 	imes 7500 	imes 10^{-10} \, m 	imes 2 \, m}{2 	imes 10^{-3} \, m}$.$y = 6 	imes 7500 	imes 10^{-7} \, m = 45000 	imes 10^{-7} \, m = 4.5 	imes 10^{-3} \, m = 4.5 \, mm$.

Similar Questions

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 a Young's double slit experiment,the ratio of the slit widths is $4 : 1$. The ratio of the intensity of maxima to minima,close to the central fringe on the screen,will be

In Young's double-slit experiment,we get $10$ fringes in the field of view using monochromatic light of wavelength $4000 \text{ } \mathring{A}$. If we use monochromatic light of wavelength $5000 \text{ } \mathring{A}$,then the number of fringes obtained in the same field of view is

In Young's experiment,the distance between slits is $0.28 \,mm$ and the distance between the slits and the screen is $1.4 \,m$. The distance between the central bright fringe and the third bright fringe is $0.9 \,cm$. What is the wavelength of the light used in $\mathring{A}$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module