A plate of thickness t made of a material of refractive index $\mu$ is placed in front of one of the slits in a double slit experiment.
- Find the change in the optical path due to introduction of the plate.
- What should be the minimum thickness t which will make the intensity at the centre of the fringe pattern zero? Wavelength of the light used is $\lambda$. Neglect any absorption of light in the plate.
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- Change in the optical path $=\mu\text{t}-\text{t}=(\mu-1)\text{t}$
- To have a dark fringe at the centre the pattern should shift by one half of a fringe.
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