In an interference pattern, the wavelength and frequency are? a) unchanged in re

Question

In an interference pattern, the wavelength and frequency are?

a) unchanged in regions of destructive interference but greater in regions of constructive interference.

b) greater in regions of constructive interference than in regions of destructive interference

c)

smaller in regions of constructive interference than in regions of destructive interference.

d) the same in both the regions of constructive interference and the regions of destructive interference.

smaller in regions of constructive interference than in regions of destructive interference.

d) the same in both the regions of constructive interference and the regions of destructive interference.

Explanation / Answer

In interfreence or diffraction pattern,

the needed equation is Y = mLR/d---------------1

and d sin theta = mL--------------------2

where L = wavelgnth,

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen,

Y = disatnce from central spot to nth order fringe

================================================
Velocity v , wavelength L and frequency f are related by v= Lf

where v = velcoity of light = 3e8 m/s

so here we apply

so
option D d) the same in both the regions of constructive interference and the regions of destructive interference.

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