Light of wavelength = 590 nm passes through a single slit of width w = 2.1 m and

Question

Light of wavelength = 590 nm passes through a single slit of width w = 2.1 m and illuminates a screen L = 1.9 m away.

Please look at the sumbission history and the feedback/comments. Thank you!

50% Part (b) What is the width y, in meters, of the bright central maximum on the screen? Grade Summary 6.41 Deductions 15% Potential 85% Submissions Attempts remaining (3% per attempt detailed view cosh00 tanh0 cotanh0 END BACKSPACE CLEAR Degrees Radians Hints for a deduction. Hin remaining: ts Feedback 2 for a deduction What is the mathematical relationship between the fringe location, No meaningful feedback available for the current submission. fringe order, the wavelength of the incoming wave, and the width of the slit? -Remember that this is a single slit, not a double slit or a diffraction grating. And be particularly careful with the units in this calculation Use the exact relationship; don't assume the angle is small. How is width of the central maxi efined Submission History Answer Hints Feedback Totals 0% Very good approach, but for given parameter 0% 1.07 the small angle approximation works badly. Apply trigonometry 0.5338 What is the mathematical relationship between the fringe 0% Very good approach, but for given parameters 1.0676 location, fringe order, the wavelength of the incoming wave, the small angle approximation works badly. and the width of the slit? Apply trigonometry 1.068 -Remember that this is a single slit, not a double slit or a diffraction grating. And be particularly careful with the units in this calculation. Use the exact relationship; don't assume the angle is small. How is the width of the central maximum defi 280.92 280.9 6.41 Totals 15% 15%

Explanation / Answer

The formula to apply is sin = m/a

From the triangle formed, we know tan = y/L

tan = .0019/2.1

= .0517o

sin(.0517) = 1(460 X 10-9)/a

a = .00196 m which is 196 X 10-3 m

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