In the Young's double slit experiment n^ th bright for red coincides with (n+1)^ th bright for violet. Then the value of ' n ' is: (given: wave length of red light =6300^ A and wave length of violet =4200^ A ).

Step-by-step solution

The condition for the n^ th bright fringe of red light to coincide with the (n+1)^ th bright fringe of violet light is given by the path difference equality: n _ R = (n+1) _ V Given _ R = 6300 and _ V = 4200 , substituting these values into the equation: n 6300 = (n+1) 4200 Dividing both sides by 2100: n 3 = (n+1) 2 3n = 2n + 2 n = 2 Answer: 2