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Apparent Depth

A plane glass...

Question

A plane glass slab is kept over various coloured letters, the letter which appears least raised is?

A

Violet

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B

Blue

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C

Green

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D

Red

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Solution

The correct option is C Red
$R i s e = R e a l d e p t h (R . D) - a p p a r e n t d e p t h (A . D)$

$\Rightarrow R i s e = R \cdot D - \frac{R \cdot D}{μ}$

$= R \cdot D (1 - \frac{1}{μ})$

Thus, for least rise $μ$ should be least. Refractive index is least for red colour.

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