Optics Question 560

Question: $ V _{o} $ and $ V _{E} $ represent the velocities, $ {\mu _{o}} $ and $ {\mu _{E}} $ the refractive indices of ordinary and extraordinary rays for a doubly refracting crystal. Then

[KCET 2002]

Options:

A) $ V _{o}\ge V _{E},\ \ {\mu _{o}}\le {\mu _{E}} $ if the crystal is calcite

B) $ V _{o}\le V _{E},\ \ {\mu _{o}}\le {\mu _{E}} $ if the crystal is quartz

C) $ V _{o}\le V _{E},\ \ {\mu _{o}}\ge {\mu _{E}} $ if the crystal is calcite

D) $ V _{o}\ge V _{E},\ \ {\mu _{o}}\ge {\mu _{E}} $ if the crystal is quartz

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Answer:

Correct Answer: C

Solution:

In double refraction light rays always splits into two rays (O-ray & E-ray). O-ray has same velocity in all direction but E-ray has different velocity in different direction. For calcite me < m0

Therefore ve > v0 For quartz me > m0

Therefore v0 > ve



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