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CBSE Class 12-science Answered

A beam of light of wavelength 400 nm is incident normally on a right angled prism as shown. It is observed that the light just grazes along the surface AC after falling on it. Given that the refractive index of the material of the prism varies with the wavelength λ as per the relation Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '. calculate the value of b and  the refractive index of the prism material for a wavelength λ = 5000 Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '..[Given θ = sin-1(0625)]
Asked by Topperlearning User | 08 Jul, 2014, 03:02: PM
answered-by-expert Expert Answer

 

 

 

Given λ = 400n = 400 x 10-9m

i1 = 0, r1 = 0

r1 + r2 = θrightwards double arrowr2 = θ r1= θ

i2 =90o

From snell's law Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

rightwards double arrowb =(4 x 10-7)2 x 0.4m2 = 6.4 x 10-14m2

Now putting λ = 5000Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '. = 5 x 10-7m

μ' = 1.2 + Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.= 1.2 + 0.256 = 1.456

 

 

 

 

Answered by | 08 Jul, 2014, 05:02: PM

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