The speed of light in media M₁ and M₂ is 1.5 x 10⁸ m /s respectively. A ray of light enters from medium M₁ and M₂ at incidence angle i. If the ray suffers total internal reflection the value of i is

equal to sin^-1 (2/3)

equal to or less than sin^-1 (3/5)

equal to or greater than sin^-1 (3/4)

less than sin^-1 (2/3)

Solution

equal to or greater than sin^-1 (3/4)

In total internal reflection, the angle of incidence (i) must be greater than critical angle C
$2 straight mu space equals space 2 space and space straight mu subscript 2 space equals space 3 over 2 2 space sin space straight i space greater or equal than space 3 over 2 space sin space 90 to the power of straight o sin space straight i space greater or equal than 3 over 4 straight i space greater or equal than space sin to the power of negative 1 end exponent space open parentheses 3 over 4 close parentheses$

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Wave Optics

Some More Questions From Wave Optics Chapter

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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