wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

In the arrangement shown in figure, slits S1 and S4 are having a variable separation Z. Point O on the screen is at the common perpendicular bisector of S1S2 and S3S4.


The minimum value of Z for which the intensity at O is zero is

A
2λDd
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
λD2d
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
λD3d
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
λDd
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D λDd
For the given condition,
phase difference cosθ=1 orθ=π
kΔx=π , (where, k=2πλ)
so,Δx2πλ=πΔx=λ2
here, Δx= total path difference= ydD
then,ydD=λ2y=Dλ2d
from the digram, Z=2y


so, Z2=Dλ2dZ=λDd

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Young's Double Hole Experiment
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon