Please answer both A and B! Constants Part A A 500 lines par mm ditraction grati

Question

Please answer both A and B!

Constants Part A A 500 lines par mm ditraction grating is iluminated bg light of wavelength 530 um What is the maximum diffraction order seen? Express your answer as an integer You may want to review a 544 54 Submit Part B What is the angle of each difraction order starting from zero diffraction order to the maximum visible dittraction order? E nter your answers using two significant figures in ascending order separated by commas Submit Request AnS Provide Feedback Next > O Type here to search 00e

Explanation / Answer

(A) d = (1 mm) / 500 = (10^-3 / 500 )m

d = 2 x 10^-6 m

lambda = 530 nm = 530 x 10^-9 m

sin(theta) = m lambda / d

maximum value of sin(theta) is 1.

SO, 1 = m (530 x 10^-9) / (2 x 10^-6 )

m = 3.77

m_max = 3 .......Ans

(B) m = 0 ; sin(theta) = 0 => theta = 0

m =1 ; sin(theta) = (1 x 530 x 10^-9)/(2 x 10^-6)

= 0.265

theta = 15 deg

m = 2 ; sin(theta) = 0.530

theta = 32 deg

m = 3 ; sin(theta) = 0.795

theta = 53 deg

Ans: 0 , 15 , 32 , 53

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