Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light (6000 overset texto mathop textA ) than in the same thickness in vacuum is:

Question

Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light (6000 overset texto mathop textA ) than in the same thickness in vacuum is: (A)  2mm  (B)  2cm  (C) 2m (D)  2km

Tardigrade Admin · Accepted Answer

For vacuum t=nλ , For air t=(n+1)λ ∴ t=(λ /n-1)=(6× 10-7/0.0003)=2mm

Q. Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light $(6000 A o)$ than in the same thickness in vacuum is:

$2 mm$

$2 c m$

2m

$2 km$

For vacuum $t = nλ,$ For air $t = (n + 1) λ$ $∴$ $t = \frac{λ}{n - 1} = \frac{6 \times 10 ^{- 7}}{0.0003} = 2 mm$

Q. Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light (6000Ao) than in the same thickness in vacuum is:

2mm

2cm

2m

2km

For vacuum t=nλ, For air t=(n+1)λ ∴ t=n−1λ​=0.00036×10−7​=2mm

Q. Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light $(6000 A o)$ than in the same thickness in vacuum is:

$2 mm$

$2 c m$

$2 km$

For vacuum $t = nλ,$ For air $t = (n + 1) λ$ $∴$ $t = \frac{λ}{n - 1} = \frac{6 \times 10 ^{- 7}}{0.0003} = 2 mm$