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Wave Optics

Question
CBSEENPH12047980

The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9 : 1. The intensities of the used light sources are in ratio

  • 3 : 1

  • 4 : 1

  • 9 : 1

  • 10 : 1

Solution

B.

4 : 1

Given:- The intensity ratio interference pattern produced by two coherent sources of light 9:1.    

           ImaxImin = a+ b2a - b2

                   91 =  a + b 2 a - b 2

                   31 = a + ba - b

⇒     3 ( a - b ) = a + b

⇒     3a - 3b = a + b

⇒               2a = 4b

⇒                  a = 2b

∴                 I1I2 = a2b2

∴                   I1I2 = 41