Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsTIR/Prism and DispersionEasy2 minPYQ_2020

PhysicsEasysingle choice

A prism is made up of material of refractive index $\sqrt{2} .$ The angle of the prism is $A$ . If the angle of minimum deviation is equal to the angle of the prism, the value of $A$ is

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Answer:

Solution:

$∵ μ = \frac{\sin [\frac{(A + δ_{m})}{2}]}{\sin (\frac{A}{2})}$

Here, $μ$ is refractive index $δ_{m}$ is minimum deviation angle, $A$ is angle of prism.

$∴ \sqrt{2} = \frac{\sin [\frac{A + A}{2}]}{\sin \frac{A}{2}}$

$\Rightarrow \sqrt{2} \sin \frac{A}{2} = \sin A$

Hence, $A = 90 °$

Subject:PhysicsTopic:Geometrical OpticsSubtopic:TIR/Prism and Dispersion

⏱ 2mℹ️ Source: PYQ_2020

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