The refractive indices of the material of a lens for violet, yellow and red colours of light are respectively $1.66, 1.64$ and $1.62$ . The mean focal length of the lens is $10 c m$ . Determine the chromatics aberration of the lens between the violet and the red colors.

0.225 c m

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0.324 c m

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0.576 c m

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0.625 c m

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Solution

The correct option is D $0.625 c m$
Let $ω$ be the dispersive power of the material of the lens. Then, the chromatic aberration between violet and red colors is given by:
$f_{R} - f_{V} = ω \times f_{Y} = (\frac{n_{V} - n_{R}}{n_{Y} - 1}) f_{Y} = (\frac{1.66 - 1.62}{1.64 - 1}) \times 10 = 0.625 c m$

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Q. Refractive index of violet, yellow and red colour of light for a material of lens are 1.66, 1.64 & 1.62 respectively. If mean focal length of lens is 10 cm. Then chromatic aberration between the colour of violet and red will be :

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The refractive indices of the material of a lens for violet, yellow and red colours of light are respectively 1.66,1.64 and 1.62. The mean focal length of the lens is 10cm. Determine the chromatics aberration of the lens between the violet and the red colors.

The correct option is D 0.625cmLet ω be the dispersive power of the material of the lens. Then, the chromatic aberration between violet and red colors is given by:fR−fV=ω×fY=(nV−nRnY−1)fY=(1.66−1.621.64−1)×10=0.625cm

The refractive indices of the material of a lens for violet, yellow and red colours of light are respectively $1.66, 1.64$ and $1.62$ . The mean focal length of the lens is $10 c m$ . Determine the chromatics aberration of the lens between the violet and the red colors.