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Question

Physics Question on Ray optics and optical instruments

A plane glass plate is placed over a various coloured letters (violet, green, yellow, red). The letter which appears to raised more

A

Red

B

Yellow

C

Green

D

Violet

Answer

Violet

Explanation

Solution

μ= Real depth  apparent depth \because \mu=\frac{\text { Real depth }}{\text { apparent depth }}
where, μ\mu reflective index of medium
\Rightarrow Apparent depth = Real depth μ=\frac{\text { Real depth }}{\mu}
But, μ1λ\mu \propto \frac{1}{\lambda}
λv<λg<λy<λr\because \lambda_{v} < \lambda_{g} < \lambda_{y} < \lambda_{r}

Thus, μv\mu_{v} is greater to all of them
\therefore Apparent depth is minimum for violet.
It means that the violet letter appear raised more.