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Derive the expression for lateral shift ...

Derive the expression for lateral shift produced when a ray of light passes through a parallel sided slab.

Text Solution

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From `Delta QTR`, `sin ( i-r) = ( R T )/( QR )`
From `Delta QNR `, `cos r = ( QN )/( QR )`
Lateral shift `= QR xx sin ( i - r) `and `QR = ( QN )/ ( cos r )`
Lateral shift ` = ( QN )/( cos r ) sin ( i - r)`
Lateral shift `= ( t )/( cos r ) sin ( i - r )`
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