Question

) A Michelson interferometer uses light whose wavelength is known to be 602.446 nm. Mirror M2 is slowly moved while exactly 33,198 bright-dark-bright fringe shifts are observed. What distance has M2 moved? Be sure to give your answer to an appropriate number of significant figures.

Answer 1

The distance will be "10,000,001.1 cm".

Step-by-step explanation:

The given values are:

Wavelength,

λ = 602.446 nm

Number of moved fringes,

n = 33,198

Now, consider an equation of interference,

⇒
`2d=n\lambda` ...(equation 1)

On putting the estimated values in the above equation, we get

⇒
`2d=33198* 602.446`

⇒
`=(33198* 602.446)/(2)`

⇒
`=(20000002.3)/(2)`

⇒
`=10000001.1` cm