In two separate Young’s double-slit experimental set-ups, two monochromatic light sources of different wavelengths are used to get fringes of equal width. [2026]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
In two separate Young’s double-slit experimental set-ups, two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slit separations and that of the wavelengths of light used are 2 : 1 and 1 : 2 respectively. The corresponding ratio of the distances between the slits and the respective screens $(D_{1} / D_{2})$ is __________ . [2026]

Ans.
(4)

$β_{1} = β_{2}$

$\frac{D_{1} λ_{1}}{d_{1}} = \frac{D_{2} λ_{2}}{d_{2}}$

$\frac{D_{1}}{D_{2}} = \frac{λ_{2}}{λ_{1}} (\frac{d_{1}}{d_{2}})$

$= 2 \times 2$

$\frac{D_{1}}{D_{2}} = 4$

Want Us to Email you About Special Offers & Updates?