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Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsTIR/Prism and DispersionHard2 minPYQ_2014

PhysicsHardsingle choice

The length of deviation for a glass prism is equal to its refracting angle. The refractive index of glass is 1.5. Then the angle of prism is

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Solution:

Here, $δ_{m} = A, μ = 1.5$ $∴ μ = \frac{s i n \frac{( A + δ _{m} )}{2}}{s i n \frac{A}{2}} = \frac{s i n \frac{( A + A )}{2}}{s i n \frac{A}{2}}$ $= \frac{2 s i n ( \frac{A}{2} ) c o s ( \frac{A}{2} )}{s i n ( \frac{A}{2} )}$ $\frac{3}{2} = 2 cos \frac{A}{2} (∵ μ = 1.5 = \frac{3}{2})$ $cos \frac{A}{2} = \frac{3}{4}$ $\frac{A}{2} = cos^{- 1} (\frac{3}{4})$ or $A = 2 cos^{- 1} (\frac{3}{4})$

Stream:AIIMSSubject:PhysicsTopic:Geometrical OpticsSubtopic:TIR/Prism and Dispersion

⏱ 2mℹ️ Source: PYQ_2014

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