$A$ mixture of light of wavelength $590 \, nm$ and an unknown wavelength is incident on the two slits of a Young's double-slit experiment. The central bright fringes of both lights coincide. The $3^{rd}$ bright fringe of the known wavelength coincides with the $4^{th}$ bright fringe of the unknown wavelength. Find the unknown wavelength in $nm$.
- A$393.4$
- B$885$
- C$442.5$
- D$776.8$
Explore More
Similar Questions
At two points $P$ and $Q$ on the screen in Young's double-slit experiment,waves from slits $S_1$ and $S_2$ have a path difference of $0$ and $\frac{\lambda}{4}$ respectively. The ratio of intensities at $P$ and $Q$ will be
DifficultAIEEE 2011
View SolutionThe distance between two slits in a double slit experiment is $1 \ mm$. The distance between the slits and the screen is $1 \ m$. If the distance of the $10^{th}$ fringe from the central fringe is $5 \ mm$, then the wavelength of light is $... \mathring{A}$.
Difficult
View SolutionYoung'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 $mm$?
Medium
View SolutionIn Young's double-slit experiment,the intensity at a point is $(1/4)$ of the maximum intensity. The angular position of this point is:
Difficult
View SolutionIn $\text{YDSE}$,$S_1$ and $S_2$ have the same intensity $I_0$. Column-$I$ shows the distance $x$ of a point $P$ from the central point $O$ on the screen,and Column-$II$ shows the intensity at $P$. Match Column-$I$ with Column-$II$. (Wavelength is $\lambda$)
Column-$I$ Column-$II$ $(A) x = \frac{D \lambda}{d}$ $(P) I_0$ $(B) x = \frac{D \lambda}{4d}$ $(Q) 2 I_0$ $(C) x = \frac{D \lambda}{3d}$ $(R) 3 I_0$ $(D) x = \frac{D \lambda}{6d}$ $(S) 4 I_0$
| Column-$I$ | Column-$II$ |
|---|---|
| $(A) x = \frac{D \lambda}{d}$ | $(P) I_0$ |
| $(B) x = \frac{D \lambda}{4d}$ | $(Q) 2 I_0$ |
| $(C) x = \frac{D \lambda}{3d}$ | $(R) 3 I_0$ |
| $(D) x = \frac{D \lambda}{6d}$ | $(S) 4 I_0$ |
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo