Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1139: NEET 2016 Physics - Class 12 NEET-2016-Ph-1139 Solution: The interference pattern is obtained with two coherent light…

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern the ratio Imax+IminImax−Imin\frac{I_{max}+I_{min}}{I_{max}-I_{min}} will be nn+1\frac{\sqrt{n}}{n+1} 2nn+1\frac{2\sqrt{n}}{n+1} 2n(n+1)2\frac{2\sqrt{n}}{(n+1)^2} 2n(n+1)2\frac{2\sqrt{n}}{(n+1)^2}

Multiple Choice Options

  • A nn+1{{\sqrt n } \over {n + 1}} n + 1 n _ _
  • B 2nn+1{{2\sqrt n } \over {n + 1}} n + 1 2 n _ _
  • C n(n+1)2{{\sqrt n } \over {{{\left( {n + 1} \right)}^2}}} ( n + 1 ) 2 n _ _
  • D 2n(n+1)2{{2\sqrt n } \over {{{\left( {n + 1} \right)}^2}}} ( n + 1 ) 2 2 n _ _

Step-by-Step Verified Solution

Maximum Intensity is given as I max = ( I 1 + I 2 ) 2 Minimum intensity is given as I min = ( I 1 _ I 2 ) 2 Given I 1 I 2 = n I max I min = ( I 1 + I 2 I 1 _ I 2 ) 2 = ( I 1 I 2 + 1 I 1 I 2 _ 1 ) 2 = ( n + 1 n _ 1 ) 2 I max _ I min I max + I min = I max I min _ 1 I max I min + 1 = ( n + 1 n _ 1 ) 2 _ 1 ( n + 1 n _ 1 ) 2 + 1 = ( n + 1 ) 2 _ ( n _ 1 ) 2 ( n + 1 ) 2 + ( n _ 1 ) 2 = 4 n 2 ( n + 1 ) = 2 n n + 1

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