White light is used to illuminate two slits i | vedclass

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

Question

(A) The path difference $\delta$ at a point on the screen directly in front of one of the slits is given by $\delta = \frac{b^2}{2d}$.For destructive

Vedclass · Accepted Answer

$\frac{b^2}{d}, \frac{b^2}{3d}$

Vedclass · Answer

(A) The path difference $\delta$ at a point on the screen directly in front of one of the slits is given by $\delta = \frac{b^2}{2d}$.For destructive interference (missing wavelengths),the path difference must be an odd multiple of $\frac{\lambda}{2}$,i.e.,$\delta = (2n-1)\frac{\lambda}{2}$ where $n = 1, 2, 3, ...$.Setting $\delta = \frac{b^2}{2d}$,we get $\frac{b^2}{2d} = (2n-1)\frac{\lambda}{2}$.For $n=1$,$\frac{b^2}{2d} = \frac{\lambda_1}{2} \implies \lambda_1 = \frac{b^2}{d}$.For $n=2$,$\frac{b^2}{2d} = \frac{3\lambda_2}{2} \implies \lambda_2 = \frac{b^2}{3d}$.Thus,the missing wavelengths are $\frac{b^2}{d}$ and $\frac{b^2}{3d}$.

White light is used to illuminate two slits in Young's double-slit experiment. The separation between the slits is $b$ and the screen is at a distance $d (d >> b)$ from the slits. The wavelengths missing at a point on the screen directly in front of one of the slits are

Similar Questions

In a Young's double-slit experiment,the experiment is performed with blue light of wavelength $4360 \; \mathring{A}$ and green light of wavelength $5460 \; \mathring{A}$. If the distance of the $4^{th}$ bright fringe from the central maximum is $x$,then:

In a Young's double slit experiment,the slit separation is $1 \, mm$ and the screen is $1 \, m$ from the slit. For a monochromatic light of wavelength $500 \, nm$,the distance of the $3rd$ minima from the central maxima is.....$mm$

In Young's double slit experiment,the ratio of intensity of maxima and minima in the interference experiment is $25 : 9$. The ratio of the widths of the two slits is:

The correct curve between fringe width $\beta$ and the distance between the slits $(d)$ is:

Young's double slit experiment is performed with light of wavelength $550 \, nm$. The separation between the slits is $1.10 \, mm$ and the screen is placed at a distance of $1 \, m$. What is the distance between consecutive bright or dark fringes in $mm$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module