Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

In Young's double slit experiment, a student observes 8 fringes in a certain segment of the screen when a monochromatic light of $\mathrm{600nm}$ wavelength is used. If the wavelength of light is changed to $\mathrm{400nm}$ , then the number of fringes he would observe in the same region of the screen is :
Option: 1
$8$

Option: 2
$9$

Option: 3
$12$

Option: 4
$6$

Answers (1)

best_answer

Let the length of segment be y

Since there are 8 fringes in that segment

$\mathrm{\therefore \quad 8 \beta_{1}=y} \\$ ....(1)

$\mathrm{\beta_{1}=\frac{\lambda_{1} D}{d}=}$ fringe width for wavelength $\mathrm{(\lambda_{1}=600nm)}$

Let say there are $\mathrm{n_{2}}$ fringes of wavelength $\mathrm{\lambda_{2}=400nm}$ in segment $\mathrm{y}$

$\mathrm{\therefore n_{2} \beta_{2}=y}$ ......(2)

From eqn (1)

$\mathrm{8 \beta_{1}=n_{2} \beta_{2}} \\$

$\mathrm{8 \times \lambda_{1}=n_{2} \lambda_{2}} \\$

$\mathrm{8 \times 600=n_{2}(400)} \\$

$\mathrm{n_{2}=12}$

hence correct option is 3

Posted by

Rishabh

View full answer

NEET 2024 Most scoring concepts

Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

Abolish NEET, restore state CET; Karnataka urges Centre after paper leak row

anam-khan

NEET UG 'Leak': CBI probing role of NTA-linked public servant

anam-khan

NEET Paper Leak: Siddaramaiah backs Rahul Gandhi; seeks Dharmendra Pradhan’s removal

Latest Question