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FREQUENCY of yellow light in air:
f1=vλ1Here,visvelocityofyellowlight in airλ1iswavelengthoftheyellowlight in air
Frequency of yellow light in vacuum:
f2=cλ2Here,cisvelocityofyellowlight in vacuumλ2iswavelengthoftheyellowlight in vacuum
Equate FREQUENCIES in air and vacuum:
vλ1=cλ2cv=λ2λ1But, cv=μaHere, μa is refractive index of airμa=λ2λ1So, λ1=λ2μa
Number of wavelengths in each medium:
In air, n1=tλ1 In vacuum, n2=tλ2
Here, t is thickness of each column
Difference of thickness of each column:
n1−n2=1tλ1−tλ2=1t(1λ1−1λ2)=1tλ2(λ2λ1−1)=1tλ2(μa−1)=1t=λ2μa−1 =6000×10−8 cm1.0003−1 =0.2 cm =2 mm
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