Two coherent light sources having intensity in the ratio of 2x produce an interference pattern.

The ratio  will be :

CONCEPT:

• For the maximum intensity we write;

           Here I_max is the maximum intensity, and I₁ and I₂ are the intensity in 1 source and 2nd source.

• For the minimum intensity we write;

           Here Imin is the minimum intensity, and I1 and I2 are the intensity in 1 source and 2nd source.

CALCULATION:

Given: The two coherent light sources having the intensity in the ratio of 2x which is written as;

⇒ 

Let, , and 

The maximum intensity, I_max = 

= 

= 

The minimum intensity, Imin = 

= 

= 

To calculate:     ----(1)

Now, on putting the values in equation (1) we have;

⇒  = 

⇒  = 

⇒  = 

Hence, option 2) is the correct answer.