Answer:
51793 bright-dark-bright fringe shifts are observed when the mirror M2 moves through 1.7cm
Step-by-step explanation:
The number of maxima appearing when the mirror M moves through distance \Delta L is given as follows,
![\Delta m = (\Delta L)/((\lambda)/(2))](https://img.qammunity.org/2020/formulas/physics/college/45lwckm2hjj32qws5r25voofg2sw4qm97q.png)
Here,
= is the distance moved by the mirror M
is the wavelenght of the light used.
= 0.017m
![\lambda = 656.45*10^(-9)m](https://img.qammunity.org/2020/formulas/physics/college/knz4woqr8hormn5cvixfyvf1tk05s7o7j8.png)
![\Delta m = (0.017)/((656.45*10^(-9))/(2))](https://img.qammunity.org/2020/formulas/physics/college/vueu9eov8x90yj8tg31hbhvnqq56bny7be.png)
![\Delta m = 51793.72](https://img.qammunity.org/2020/formulas/physics/college/a20hk8b3n58dvgim2ee7xerenxe7rggv3q.png)
Therefore, 51793 bright-dark-bright fringe shifts are observed when the mirror M2 moves through 1.7