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Calculate the phase difference introduce...

Calculate the phase difference introduced by a quartz plate of thickness 20 micron between ordinary and extraordinary light. Given that `mu_(0)=1.5443, mu_(e)1.5533" and " lambda=6000Å`. Which light travels faster in quartz?

Text Solution

Verified by Experts

The correct Answer is:
`0.1.88`
Path difference introduced `=(mu_(c ) -mu_(0))t`
`=(1.5533 -1.5443) xx 20 xx 10^(-6) .......... ( :.1 " micron" = 10^(-6)m)`
`=0.0090 xx 20 xx 10^(-6)`
Phase difference `=(2pi)/(lambda)xx` path difference
`:.` Phase difference introduced
`=0.0090 xx 20 xx 10^(-6) xx (2pi)/(6000 xx 10^(-10))` `=0.6pi =1.884"rad" ~~1.88` rad
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