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. (a) Find the changes in he optical path due to introduction of the plate. (b) Wht 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 `lamda`. Neglect any absorption of light in the plate.A. `(mu - 1) (lambda)/(2)`B. `(mu - 1) lambda`C. `(lambda)/(2(mu - 1))`D. `(lambda)/((mu - 1))`

A plate of thickness t made of a material of refractive index `mu` is

1.	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. (a) Find the changes in he optical path due to introduction of the plate. (b) Wht 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 `lamda`. Neglect any absorption of light in the plate.A. `(mu - 1) (lambda)/(2)`B. `(mu - 1) lambda`C. `(lambda)/(2(mu - 1))`D. `(lambda)/((mu - 1))`
Answer» Correct Answer - c Intensity at the center will be zero if path difference is `lambda // 2`. Thus is, `(mu - 1) t = (lambda)/(2)` or `t = (lambda)/(2(mu - 1)`

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