A diffraction grating with $600$ lines$/$mmlines$/$mm is illuminated with light of wavelength $510$ nmnm$.$ A very wide viewing screen is $4\mathrm{.}2$ mm behind the grating.

Part A

What is the distance between the two mm $=1$ bright fringes?

Express your answer with the appropriate units.

View Available Hint$($s$)$for Part A

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Part B

How many bright fringes can be seen on the screen?