The difference in the number of wavelengths, when yellow light propagates through air and vaccum columns of the same thickness is one.The thickness of the column is $x mm$ . The value of $x$ is
[Refractive index of air $μ_{a i r} = 1.0003$ , wavelength of yellow light in vaccum $= 6000 ˚ A$ ].

Question

The difference in the number of wavelengths, when yellow light propagates through air and vaccum columns of the same thickness is one.The thickness of the column is

x mm

. The value of

x

is
[Refractive index of air

μ_{a i r} = 1.0003

, wavelength of yellow light in vaccum

= 6000 ˚ A

].

Toppr Admin · Accepted Answer

No of wavelengths -thicknesswavelengthLet x be the thickness of the air columnso-xA0-x-x3BB-air-x2212-x-x3BB-vacuum-1

The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is :(Refractive index of air μa=1.0003 ; Wavelength of yellow light in vacuum =6000A∘)1.8mm2mm2cm2.2cm

No of wavelengths =thicknesswavelengthLet x be the thickness of the air columnso xλair−xλvacuum=1

No of wavelengths $= \frac{t h i c k n e s s}{w a v e l e n g t h}$
Let $x$ be the thickness of the air column

so $\frac{x}{λ_{a i r}} - \frac{x}{λ_{v a c u u m}} = 1$