Calculating Slit Width from Monochromatic Light Diffraction | 616nm Wavelength

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The discussion focuses on calculating the slit width from the diffraction pattern created by monochromatic light of 616nm wavelength. The setup involves a screen 1.7m away from the slit, with a distance of 1.8cm from the central maximum to the second diffraction minimum. The formula used is λ = y * w / L, which was rearranged to find the slit width w. The user initially calculated w incorrectly by using the distance to the second minimum instead of the first. Clarification on using the correct distance for the first minimum is needed to arrive at the correct slit width.
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Homework Statement


monochromatic light of wavelength 616nm is incident on a narrow slit. On a screen 1.7m away, the distance between the second diffraction minimum and the central maximum is 1.8cm. What is the width of the slit in mm?


Homework Equations





The Attempt at a Solution


For the question i use the formula lambda = y x w / L
where L is the length to screen, y is the distance between the middle of the bright spot and the first dark line and w is the slit width. I rearrange the equation to get w and then just pug in the values and I get w = lambda x L / Y and the answer i get is w = 616E-9 x 1.7 / 0.018 = 5.82E-5m, bbut this answer is incorrect, can someone please help me with whatim doing wrong
 
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The question gives the distance to the second minimum not the first.
 
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