MCQ
A girl standing at point $P$ on a beach wishes to reach a point $Q$ in the sea as quickly as possible. She can run at $6 \,kmh ^{-1}$ on the beach and swim at $4 \,kmh ^{-1}$ in the sea. She should take the path
  • A
    $P A Q$
  • B
    $P B Q$
  • $P C Q$
  • D
    $P D Q$

Answer

Correct option: C.
$P C Q$
c
(c)

To reach point $Q$, using Fermat's principle, girl must bend her path towards normal as on beach velocity of girl is more than her velocity at sea.

So, correct path is $P C Q$ to reach in shortest time.

Note Laws of refraction of light follows from Fermat's principle.

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