Two monochromatic (wavelength  $=\frac{a}{5})$ and coherent sources of electromagnetic waves are placed on the $x-$axis at the points $(2 a, 0)$ and $(-a, 0).$ A detector moves in a circle of radius $R\left(>>2a\right)$ whose centre is at the origin. The number of maximas detected during one circular revolution by the detector are-

In a Young's Double slit experiment, first maxima is observed at a fixed point $P$ on the screen. Now the screen is continuously moved away from the plane of slits. The ratio of intensity at point $P$ to the intensity at point $O$ (centre of the screen)-

To make the central fringe at the centre $O,$ a mica sheet of refractive index $1.5$ is introduced. Choose the correct statements $\left(s\right)-$

Consider interference between two sources of intensity $I$ and $4I$. Find out resultant intensity where phase difference is

$\frac{\pi }{4}$ 

Express all your answers in the form $nI$ where $n$ is real number up to two decimal places. Find $n$.

Consider interference between two sources of intensity $I$ and $4I$. Find out resultant intensity where phase difference is $\pi$

Express all your answers in the form $nI$ where $n$ is real number up to two decimal places. Find $n$.

Consider interference between two sources of intensity $I$ and $4I$. Find out resultant intensity where phase difference is $4\pi$

Express all your answers in the form $nI$ where $n$ is real number up to two decimal places. Find $n$.