A Young's double -slit experiment is performed using monochromatic light of wavelength `lambda`. The intensity of light at a point on the screen, where the path difference is `lambda` is K units. The intensity of light at a point where the path difference is `lambda/6` is given by `(nK)/12`, where n is an integer. The value of n is ____________

Answer

`9`

Explanation

`I=I_(0)"cos"^(2)(phi)/2`
`=kcos^(2)((pi)/(lamda)xx(lamda)/6)`
`=kcos^(2)((pi)/6)`
`=(3k)/4=(9k)/12`
`n=9`