The wavelength of light in two liquids x and y is 3500 A - and 7000 A - then the critical angle of x relative to y will be-A- 60-B- 45-C- 30-D- 15-

The correct option is C 30^∘ The critical angle C is given by velocity=frequency× wavelength nbsp; Frequency is constant in both the medium. nbsp; sin C = ...

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Standard IX

Physics

Critical Angle

The wavelengt...

Question

The wavelength of light in two liquids $x$ and $y$ is $3500 A^{\circ}$ and $7000 A^{\circ}$ , then the critical angle of $x$ relative to $y$ 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
$30^{\circ}$

The critical angle C is given by
$v e l o c i t y = f r e q u e n c y \times w a v e l e n g t h$
Frequency is constant in both the medium.

sin C = $\frac{n_{2}}{n_{1}} = \frac{v_{1}}{v_{2}} = \frac{λ_{1} \times f_{1}}{λ_{2} \times f_{2}} = \frac{λ_{1}}{λ_{2}}$ = $\frac{3500}{7000} = \frac{1}{2} \Rightarrow C = 30^{\circ}$

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The wavelength of light in two liquids x and y is 3500 A∘ and 7000 A∘, then the critical angle of x relative to y will be______.

The correct option is C 30∘ The critical angle C is given by velocity=frequency×wavelength Frequency is constant in both the medium. sin C = n2n1=v1v2=λ1× f1λ2× f2=λ1λ2 = 35007000=12⇒C=30∘

The wavelength of light in two liquids $x$ and $y$ is $3500 A^{\circ}$ and $7000 A^{\circ}$ , then the critical angle of $x$ relative to $y$ will be______.