Three thin prisms are combined as shown in the figure. The refractive indices of the crown glass for red,yellow,and violet rays are ${\mu _r}, {\mu _y}$ and ${\mu _v}$ respectively,and those for the flint glass are ${\mu _r}', {\mu _y}'$ and ${\mu _v}'$ respectively. If there is no net deviation in the yellow ray,then the ratio $A'/A$ will be:

  • A
    $\frac{{2\left( {{\mu _v} - {\mu _r}} \right)}}{{\left( {{\mu _v}' - {\mu _r}'} \right)}}$
  • B
    $\frac{{2\left( {{\mu _y} - 1} \right)}}{{\left( {{\mu _y}' - 1} \right)}}$
  • C
    $\frac{{2\left( {{\mu _v}' - {\mu _r}'} \right)}}{{\left( {{\mu _v} - {\mu _r}} \right)}}$
  • D
    $\frac{{2\left( {{\mu _y}' - 1} \right)}}{{\left( {{\mu _y} - 1} \right)}}$

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Similar Questions

$A$ light ray is incident at an angle $\theta$ on the refracting surface of a prism and emerges normally from the other surface. If the prism angle is $5^{\circ}$ and the refractive index of the material of the prism is $1.5$,then the angle of incidence is ...$^{\circ}$.

Given below are two statements :
Statement $I$ : When white light is passed through a prism,the red light bends less than yellow and violet light.
Statement $II$ : The refractive indices are different for different wavelengths in a dispersive medium.
In the light of the above statements,choose the correct answer from the options given below :

The angle of a prism is $A$. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence $2A$ on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index $\mu$ of the prism is:

Explain the minimum deviation angle for a prism using the graph of deviation angle versus incidence angle.

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Draw a diagram of a right-angled prism for which the object and image are of the same size.

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