Light containing the wavelengths λ₁ = 540 nm (green) and λ₂ = 450 nm (blue) falls on a diffraction grating with 400 slits/mm. The interference pattern is observed on a square screen 6 m on a side, 1.2 m away from the screen (which is aligned with the center of the screen). What is the TOTAL number of interference maxima that can be observed on the screen from (a) green light and (b) blue light?

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Light containing the wavelengths λ₁ = 540 nm (green) and λ₂ = 450 nm (blue) falls on a diffraction grating with 400 slits/mm. The interference pattern is observed on a square screen 6 m on a side, 1.2 m away from the screen (which is aligned with the center of the screen). What is the TOTAL number of interference maxima that can be observed on the screen from (a) green light and (b) blue light?

( ) (a) 4 (b) 4
( ) (a) 4 (b) 5
( ) (a) 5 (b) 4
( ) (a) 9 (b) 9
( ) (a) 9 (b) 11
( ) (a) 11 (b) 9
( ) (a) 11 (b) 11
( ) (a) 11 (b) 13
( ) (a) 13 (b) 11
( ) (a) 13 (b) 13
( ) (a) 19 (b) 19
( ) (a) 19 (b) 23
( ) (a) 23 (b) 19
( ) (a) 23 (b) 23
( ) (a) 23 (b) 27
( ) (a) 27 (b) 23
( ) (a) 27 (b) 27
( ) (a) infinitos (b) infinitos

(II) In the situation of question (I), the greatest distance existing between two maxima of the same order, one of the blue light and one of the green light, is closer to

( ) 56,2 cm
( ) 11,2 cm
( ) 3,0 m
( ) 47,5 cm
( ) Infinita
( ) 81,4 cm
( ) 17,3 cm
( ) 4,6 cm
( ) 25,1 cm
Expert Solution
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the distance of the maxima of m the order from the center is given by the equation

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