Two coherent sources of light, each having an intensity I₀ , interfere to produce a fringe pattern on a screen. At a point on the screen where the path difference between the waves is 6 (where is the wavelength of light), the resultant intensity will be

Step-by-step solution

The phase difference is related to the path difference x by the formula: = 2 x Given x = 6 , the phase difference is: = 2 6 = 3 The resultant intensity I for two coherent sources of equal intensity I₀ is given by: I = 4I₀ ^2 ( 2 ) Substituting = 3 : I = 4I₀ ^2 ( 6 ) Since ( 6 ) = 3 2 : I = 4I₀ ( 3 2 )^2 = 4I₀ 3 4 = 3I₀ Answer: 3I₀