A Michelson interferometer operating at a 400 nm wavelength has a 3.70-cm-long glass cell in one arm. To begin, the air is pumped out of the cell and mirror M2 is adjusted to produce a bright spot at the center of the interference pattern. Then a valve is opened and air is slowly admitted into the cell. The index of refraction of air at 1.00 atm pressure is 1.00028. How many bright-dark-bright fringe shifts are observed as the cell fills with air?

Explanation:

From the question we are told that:

Wavelength

Length of cell arm

Refraction of air at  at 1.00 atm pressure

Generally the equation for Number of shifts is mathematically given by

Since

Therefore

i think the answer would be b

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