As a superhero, it is critical that your true identity remain secret. While clea
ID: 2033126 • Letter: A
Question
As a superhero, it is critical that your true identity remain secret. While cleaning the house, your bald butler finds a hair that does not belong to you and clearly does not belong to him either. You decide to use your physics knowledge to investigate. Your butler holds the hair 13.8 m from the wall. You set your laser gun to emit a 616 nm wavelength beam of light. You realize that the pattern acts like a single slit diffraction pattern with the 2nd order minima being located at 2 cm from the axis. Determine the width of the hair so that you can begin searching for the culprit.
Explanation / Answer
given
R = 13.8 m
lamda = 616 nm
y2 = 2 cm
d = ?
we know, for second order minima, y2 = 2*lamda*R/d
==> d = 2*lamda*R/y2
= 2*616*10^-9*13.8/(2*10^-2)
= 8.5*10^-4 m or 0.85 mm
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