The wavelength of light in two liquids $x$ and $y$ is $350 n m$ and $700 n m$ . The critical angle for the pair of media will be ______.

60^{\circ}

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45^{\circ}

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30^{\circ}

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15^{\circ}

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Solution

The correct option is C $30^{\circ}$
For light as a wave, speed is given by:
$v = f λ$

But, frequency is constant in both the medium. So,
$v \propto λ$

Critical angle (C) is given by:
$s i n C = \frac{n_{2}}{n_{1}} = \frac{v_{1}}{v_{2}}$
$s i n C = \frac{λ_{1}}{λ_{2}}$
$s i n C = \frac{3500}{7000} = \frac{1}{2}$
$C = 30^{\circ}$

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The wavelength of light in two liquids x and y is 350 nm and 700 nm. The critical angle for the pair of media will be ______.

The correct option is C 30∘For light as a wave, speed is given by: v=fλ But, frequency is constant in both the medium. So, v∝λ Critical angle (C) is given by: sin C=n2n1=v1v2 sin C=λ1λ2 sin C=35007000=12 C=30∘

The wavelength of light in two liquids $x$ and $y$ is $350 n m$ and $700 n m$ . The critical angle for the pair of media will be ______.