A laser beam is incident on two slits with separation d $=0\mathrm{.}048$ mm$.$ A screen is placed L $=1\mathrm{.}6$ m from the slits. The wavelength of the laser light is $=5750.$ $1$ and $2$ are the angles to the first and second bright fringes above the center of the screen.

$-$ Part $($a$)$

Express sin$($$1)$ in terms of d and $.$

sin$($$1)=$ $/$d$$Correct$!$

$-$ Part $($b$)$

Express sin$($$2)$ in terms of d and $.$

sin$($$2)=2$$/$d$$Correct$!$

$$ Part $($c$)$

Express the distance between the two bright fringes on the screen, y$,$ in terms of $1,$ $2$ and L$.$

y $=$

$|$

$$

cos$($$)$cos$($$)$cos$($$)$cotan$($$1)$cotan$($$2)$sin$($$)$sin$($$)$sin$($$)$tan$($$1)$tan$($$2)$dLt

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Grade$$Summary

Deductions$0\%$Potential$100\%$

Submissions

Attempt$($s$)$Remaining:$8$

$0\%$ Deduction per Attempt detailed$$view

$10\%20\%$

$8$ Submission$($s$)$ Remaining

Hints: $0\%$ deduction per hint. Hints remaining: $2$Feedback: $0\%$ deduction per feedback.

$$ Part $($d$)$

Solve for the numerical value of y in meters.