1.

In Young.s double-slit experiment using monochromatic light of wavelength lambda, the intensity of light at a point on the screen where path difference is lambda, is K units. What is the intensity of light at a point where path difference is lambda"/"3?

Answer»

Solution :Phase difference corresponding to `lambda` is `2PI`.
Phase difference corresponding to `(lambda)/(3)" is "(2pi)/(3)`
`I= I_(1)+I_(2)+2 sqrt(I_(1)I_(2)) cos phi""` ASSUME that `I_(1)= I_(2)= I_(0)`
In the first case, `K= I_(0)+I_(0)+2I_(0) cos 2pi = 4I_(0)`
In the second case, `K= I_(@)+I_(0)+2I_(0) cos ""(2pi)/(3)`
`I_(@)+I_(0)-2I_(0)(1/2)= I_(0)`
Now `(K.)/(K)= (I_0)/(4I_0)= (1)/(4)" or "K.= (K)/(4)`.


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