Question

Moving mirror M2 of a Michelson interferometer a distance of 90 μm causes 470 bright-dark-bright fringe shifts.What is the wavelength of the light?

Answer 1

Answer:

Wavelength, $\lambda=382.9\ nm$

Explanation:

It is given that,

Distance moved by mirror in Michelson interferometer is 90 μm

Number of bright fringe shift = 470

We need to find the wavelength of the light.

For Michelson interferometer experiment,

$2d=m\lambda$

here, $\lambda$ is the wavelength of the light

$\lambda=\dfrac{2d}{m}\\\\\lambda=\dfrac{2\times 90\times 10^{-6}}{470}\\\\\lambda=3.829\times 10^{-7}\ m\\\\\lambda=382.9\ nm$

So, the wavelength of the light is 382.9 nm.

Answer 2

The wavelength of the light should be 382.9nm.

Calculation of the wavelength of the light:

Since

Distance moved by the mirror in Michelson interferometer is 90 μm

And, Number of bright fringe shift = 470

So

we know that

2d = m*wavelength

wavelength = 2*90*10^-6/470

= 3.829*10^-7m

= 382.9nm

hence, The wavelength of the light should be 382.9nm.

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