In the Young's double slit experiment a monochromatic source of wavelength $$\lambda$$ is used. The intensity of light passing through each slit is $$I_0$$. The intensity of light reaching the screen $$S_C$$ at a point $$P$$, a distance $$x$$ from $$O$$ is given by (Take, $$d<< D$$)

Three polaroid sheets $$P_1, P_2$$ and $$P_3$$ are kept parallel to each other such that the angle between pass axes of $$P_1$$ and $$P_2$$ is $$45^{\circ}$$ and that between $$P_2$$ and $$P_3$$ is $$45^{\circ}$$. If unpolarised beam of light of intensity $$128 \mathrm{~Wm}^{-2}$$ is incident on $$P_1$$. What is the intensity of light oming out of $$P_3$$ ?

Two poles are separated by a distance of $$3.14 \mathrm{~m}$$. The resolving power of human eye is $$1 \mathrm{~min}$$ of an arc. The maximum distance from which he can identify the two poles distinctly is

In Young's double slit experiment, the distance between the slits and the screen is $$1.2 \mathrm{~m}$$ and the distance between the two slits is $$2.4 \mathrm{~mm}$$. If a thin transparent mica sheet of thickness $$1 \mu \mathrm{m}$$ and RI 1.5 is introduced between one of the interfering beams, the shift in the position of central bright fringe is