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In aYoung's double slit experiment for i...

In aYoung's double slit experiment for interference of light.the slits are`0.2`cm apart and are illuminated by yellow light `(lambda=600nm)`.What would be the fringe width on a screen placed `1m`from the plane of slits if the whole systems is immersed in water of index`4//3`?

Text Solution

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The correct Answer is:
`0.225mm`
`beta_(a)=(lambdaD)/(d) rArrbeta_(a)=(600xx10^(-9)xx1)/(2xx10^(-3))`
`beta_(a)=3xx10^(-4)m rArr beta_(a)=0.3mm`
`(beta_(w))/(beta_(a))=(lambda_(w))/(lambda_(a))=(V)/(C )=(1)/(underset(a)""mu_(w)) rArr (beta_(w))/(beta_(a))==1/(4//3)`
`(beta_(w))/(beta_(a))=(3)/(4) rArrbeta_(w)=(3)/(4)xx0.3mm`
`beta_(w)=(0.9)/(4)mm`
`beta_(w)=0.225mm`
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