Answer:
The number of fringe pattern shift is m = 40
Step-by-step explanation:
From the question we are told that
The Michelson interferometer is moved 20 wavelengths i.e
![20 \lambda](https://img.qammunity.org/2021/formulas/physics/college/scyewuxua01zptq964k1kvbg4nie9pfr5k.png)
Generally the distance which the Michelson interferometer is moved is mathematically represented as
![d = (m * \lambda)/(2)](https://img.qammunity.org/2021/formulas/physics/college/da08u2u52su7jvg5jocpms8cxq0cium320.png)
Here
is the number of fringe pattern shift
So
![20 \lambda = (m * \lambda)/(2)](https://img.qammunity.org/2021/formulas/physics/college/e1jhszbn3a5uqk47dotioybc3ip0nnzb7a.png)
![40 \lambda = m * \lambda](https://img.qammunity.org/2021/formulas/physics/college/y0kgpsncqjn2yy750g4yro89onsv34ogl4.png)
m = 40