Show the steps to arrive at eqn 3 from eqn 1. Eqn 1: d sinθ = m λEqn 3: yd/L=m λ Further approximation:In two-slit, we often only care to look at spots reasonably close to the center of the screen (i.e."small" values of 0). Since this is the case, we can make one more useful approximation in additionto the above.This is called the small angle approximation, one of whose consequences is that sin 0 = tan 0.Examining Fig 1, one can find that tan 0 = y/L. Substituting that in for sin 0 in eqn 1 gives (see Q4).ydAm(3)Since eqns 1-2 are the same except the role of 'd' is replaced by W' , it is trivial to form the singleslit version ofeqn3. Maxima locations (two-slit):d sin 0 = m.(1)m = 0, ±1, ±2... = maxima spots away from the central maxima (m=0)1 = wavelength of light projected on the double slits.d%3Ddistance between the two slits (center to center).0 = angle on the observation screen we are looking (center of screen is 0 =0)

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Show the steps to arrive at eqn 3 from eqn 1. Eqn 1: d sinθ = m λ Eqn 3: yd/L=m λ

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 52P: A chamber 5.0 cm long with flat, parallel windows at the ends is placed in one arm of a Michelson...

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