In a two-slit experiment with monochromatic l | vedclass

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

Question

(A) The fringe width $\beta$ is given by the formula $\beta = \frac{\lambda D}{d}$,where $D$ is the distance between the slits and the screen,$d$ is t

Vedclass · Accepted Answer

$6000$

Vedclass · Answer

(A) The fringe width $\beta$ is given by the formula $\beta = \frac{\lambda D}{d}$,where $D$ is the distance between the slits and the screen,$d$ is the separation between the slits,and $\lambda$ is the wavelength of light.Given the change in screen distance $\Delta D = 5 	imes 10^{-2} \ m$ and the change in fringe width $\Delta \beta = 3 	imes 10^{-5} \ m$.The change in fringe width is related to the change in distance by $\Delta \beta = \frac{\lambda \Delta D}{d}$.Rearranging for $\lambda$,we get $\lambda = \frac{\Delta \beta \cdot d}{\Delta D}$.Substituting the given values: $\lambda = \frac{(3 	imes 10^{-5} \ m) 	imes (10^{-3} \ m)}{5 	imes 10^{-2} \ m}$.$\lambda = \frac{3 	imes 10^{-8}}{5 	imes 10^{-2}} = 0.6 	imes 10^{-6} \ m$.Converting to $\mathring{A}$: $\lambda = 0.6 	imes 10^{-6} 	imes 10^{10} \ \mathring{A} = 6000 \ \mathring{A}$.

Similar Questions

In an interference experiment, the $m^{th}$ bright fringe for light of wavelength $\lambda_1$ coincides with the $n^{th}$ dark fringe for light of wavelength $\lambda_2$. The ratio $\frac{\lambda_2}{\lambda_1}$ is

Light of wavelength $520\, nm$ passing through a double slit produces an interference pattern of relative intensity versus deflection angle $\theta$ as shown in the figure. The separation $d$ between the slits is

In Young's double slit experiment,the width of fringes can be increased if we decrease the

In a Young's double-slit experiment with wavelength $\lambda$,the fringe width is $\beta$. When two glass plates of thicknesses $t_1$ and $t_2$ $(t_1 > t_2)$ and refractive index $\mu$ are placed in the paths of the two light beams respectively,by what distance will the fringe pattern shift?

In Young's double slit experiment,how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe if $\lambda = 2000\,{\mathring A}$ and $d = 7000\,{\mathring A}$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module