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Two light waves of 587.5 nm are initially out of phase by pi radians and then en

ID: 1293877 • Letter: T

Question

Two light waves of 587.5 nm are initially out of phase by pi radians and then enter blocks of two different media. The indices of refraction of the media are n1=1.40 and n2=1.65.

What is the smallest thickness L that will put the waves exactly in phase once they pass through the two media?

What is the next smallest thickness L that will put the waves exactly in phase once they pass through the two media?

Two light waves of 587.5 nm are initially out of phase by pi radians and then enter blocks of two different media. The indices of refraction of the media are n1=1.40 and n2=1.65. What is the smallest thickness L that will put the waves exactly in phase once they pass through the two media? What is the next smallest thickness L that will put the waves exactly in phase once they pass through the two media?

Explanation / Answer

t2 = L/n2

x2 = L

-------------

t1 = L/n1

X1 = L + c*(t2-t1)

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path difference x2 - x1 = c*(t1-t2)


path difference = x2 - x1 = c*L*(1/n1 - 1/n2) = c*L*0.108


phase difference = (2*pi*/?)*path difference


n*pi = (2*pi/?)*c*L*0.108


L = n*?/(2*0.108)

L = n*587.5e-9/0.216

L = n*2.719 *10^-6 m<-------------answer

for n = 1

L = 2.719*10^-6 m   < ------answer

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