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Monochromatic light of wavelength 6000Å ...

Monochromatic light of wavelength 6000Å was used to set up interference fringes. On the pasth of the interhering waves a mica sheet `12xx10^(-5)` cm thick was placed when the central bright fringe was found to be displaced by a distance equal to the width of a bright fringe. what is the refractive index of mica?

Text Solution

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On placing the mica sheet if the central bright fringe shifts by the distance of m number of bright fringes then ,
(`mu-1) t = m lambda`
Here, m=1, `lambda= 6000 "Å" =6000 xx 10 ^(-8)` cm
t=`12 xx 10^(-5)` cm
`:. (mu-1) xx 12 xx 10^(-5)=1xx6000 xx 10^(-8)`
or `" " (mu-1)=(1)/(2) `
or , `" " mu=1.5`
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