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QNEET-2013-Ph-1500: NEET 2013 Physics - Class 12 NEET-2013-Ph-1500 Solution: In Young's double slit experiment the slits are 2 mm apart and…

In Young's double slit experiment the slits are 2 mm apart and are illuminated by photons of two wavelengths λ1=12000 A˚\lambda_1 = 12000\ \text{\AA} and λ2=10000 A˚\lambda_2 = 10000\ \text{\AA}. At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other? 4 mm 3 m 8 mm 6 mm

Multiple Choice Options

  • A 4 mm
  • B 3 m
  • C 8 mm
  • D 6 mm

Step-by-Step Verified Solution

From the question, n 1 _ 1 = n 2 _ 2 So, n 1 n 2 = _ 2 _ 1 = 10000 12000 = 5 6 Hence, minima n 1 and n 2 are 5 and 6. X min = n 1 _ 1 D d = 5 ( 12000 _ 10 _ 10 ) 2 2 _ 10 _ 3 = 6 _ 10 �3 m = 6 mm

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