In a YDSE, distance between the slits and the screen is 1m, separation between the slits is 1mm and the wavelength of the light used is `5000nm`. The distance of `100^(th)` maxima from the central maxima is:

Options

A. 0.5 m
B. 0.577 m
C. 0.495 m
D. does not exist

Explanation

For 100 the maximum
`d sin theta=100 lambda`
`sin theta=(100xx5000xx10^(-9))/(1xx10^(-3))=(5xx10^(-4))/(10^(-3))=0.5 =1/2`
`:. y= D tan theta`
`=1xx tan 30`
`=1/(sqrt(3))=(sqrt(3))/3=1.732/3=0.577`