The first-order line of 589 nm light falling on a diffraction grating is observed at a...

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$8. The first-order line of 589 nm light falling on a diffraction grating is observed at a 15.5 angle. a) How far apart are the slits? b) At what angle will the third order be observed? [1]$

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Answer 1

Answer #1

In diffraction

path difference = a*sintheta

a = slit width

for constructive path difference = m*lambda/2

lambda = wavelength = 589 nm

m = order of fringe = 1

a*sintheta = m*lambda/2

a*sin15.5 = 1*589*10^-9/2

a = 1.1*10^-6 m

============

sintheta = m*lambda/(2*a)

sintheta = 3*589*10^-9/(2*1.1*10^-6)

theta = 53.4 degrees <<---answer

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Answer 2

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