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C Secure https://session.masteringphysics.com/myct/itemView?assignmentProblemiD-89973455&offset-next; hw-11 Problem 26.33 Part A A laser beam of unknown wavelength passes through a diffraction grating having 5590 lines/cm after striking it perpendicularly. Taking measurements, you find that the first pair of bright spots away from the central maximum occurs at ± 14.4 with respect to the original direction of the beam nm Submit Request Answer Part B At what angle wil the next pair of bright spots occur? Submit Request Answer Next > Provide Feedback

Explanation / Answer

Using equation:

m*lambda = d*sin theta

lambda = wavelength = (d*sin theta)/m

m = 1 (for first pair of bright spots)

theta = 14.4 deg

1/d = 5590 line/cm = (5590 lines/cm)*(1 cm/10^-2 m)

d = 1/559000 lines/m

Using given values:

lambda = sin 14.4 deg/(1*559000)

lambda = 4.448*10^-7 m = 444.8 nm

Part B

when m = 2, theta will be

sin theta = m*lambda/d

theta = arcsin (2*4.448*10^-7/(1/559000))

theta = 29.82 deg

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