Q.
Using monochromatic light of wavelength $\lambda$, an experimentalist sets up the Young's double slit experiment in three ways as shown.
If she observes that y = $\beta'$ the wavelength of light used is :
Solution:
$B' =y
\left(\mu-1\right)t=dsin\theta$
$=d\theta=\frac{dy}{D}$
$y=\frac{D\left(\mu-1\right)}{d}t$
$\frac{\left(2D\right)\lambda}{d}=\frac{D\left(\mu-1\right)t}{d}$
$\lambda =\frac{\left(\mu-1\right)t}{2}=\frac{\left(1.6-1\right)\times1.8\mu m}{2}$
$=0.6\times0.9\,\mu m$
$=5.4\,\mu m$
$=540\,n m$
