The Absolute Refractive Index Of Air Is 1.0003 And The Wavelength Of Yellow Light In Vacuum Is 6000 Ã…. Find The Thickness Of Air Column Which Will Have One More Wavelength Of The Yellow Light Than In The Same Thickness Of Vacuum.

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Question

The absolute refractive index of air is 1.0003 and the wavelength of yellow light in vacuum is 6000 Ã…. Find the thickness of air column which will have one more wavelength of the yellow light than in the same thickness of vacuum.

easy

Solution

Correct option is

2mm

The wavelength of yellow light in vacuum is and that in air is

Let p be the number of waves in a thickness t of vacuum and p + 1 in the same thickness t of air. Then

from these two equations, we have

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