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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Wave Theory of Light Formulae Page 1

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1. Refractive Index

 

na = R.I. of medium 'a' w.r. to air or vacuum =

c

va

where c = velocity of light in the air or vacuum and va = velocity of light in medium 'a'

 

 

2. Snell's Law

 

Refractive index n =

sin i

sin r

 

 (Snell's law).

where

 

 

i = angle of incidence
r = angle of refraction

 

 

 

3. Frequency of a Light Wave

 

frequency v =

c

l

 

 

 

where

 

 

c = velocity of wave ( in air)
l = wavelength


As the ray of light travels from a rarer medium to a denser medium, its velocity decreases but frequency remains the same.
Frequency of the wave does not depend upon the medium, it depends upon the source.

 

 

4. Relation Between ang and gna

 

ang = R.I. of glass w.r. to air
gna = R.I. of air w.r. to glass

ang = 

1

gna

 

 

5. Relation Between Refractive Index, Velocity and Wavelength of a Wave

 

anb = 

nb

na

 

 nb = R. I. medium 'b' w.r. to air or vacuum

 

 

 na = R. I. medium 'a' w.r. to air or vacuum

 

 

 

 = 

va

vb

 

 va = velocity of light in medium 'a'

 

 

 vb= velocity of light in medium 'b'

 

 

 

 = 

la

lb

 

 la = wave length of light in medium 'a'
 
lb = wave length of light in medium 'b'

 

 

6. Width of Wave Front

 

Cos i = Width of incident wave front
Cos r = Width of refracted wave front

where

 

 

i = angle of incidence
r = angle of refraction

 

 

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