A Young's double-slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the…

A Young's double-slit experiment is performed using monochromatic light of wavelength $\displaystyle \lambda$. The intensity of light at a point on the screen, where the path difference is $\displaystyle \lambda$, is K units. The intensity of light at a point where the path difference is $\displaystyle \frac{\lambda}{6}$ is given by $\displaystyle \frac{\mathrm{nK}}{12}$, where n is an integer. The value of n is \_\_\_\_.