Light passing through a two-slit grating makes a pattern on a screen located 500

Question

Light passing through a two-slit grating makes a pattern on a screen located 500 mm away. In this pattern, the fifth-order dark fringe is 53.0 mm from the central bright fringe.

Part A

How far from the central bright fringe is the third-order bright fringe?

Express your answer with the appropriate units.

Light passing through a two-slit grating makes a pattern on a screen located 500 mm away. In this pattern, the fifth-order dark fringe is 53.0 mm from the central bright fringe.

Part A

How far from the central bright fringe is the third-order bright fringe?

Express your answer with the appropriate units.

Explanation / Answer

sin() = y/L = m/D

for 5th order

53/L = 5/D

53/5 = L/D

for 3rd order

y/L= 3/D

y = 3L/D = 3*53/5 = 31.8 mm

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