The focal length of converging lens are $f_{v} a n d f_{r}$ for violet and red light respectively,then

f_{v} > f_{r}

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f_{v} = f_{r}

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f_{v} < f_{r}

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Any of the three is possible depending on the value of the average refractive index

μ

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Solution

The correct option is C $f_{v} < f_{r}$
The focal length for the particular light is given as:
$f = \frac{R}{2 (μ - 1)}$

We know that the wavelength of red color is more than that of a violet color.
$λ_{r e d} > λ_{v i o l e t}$

Therefore, $μ_{r e d} < μ_{v i o l e t}$
Considering the value of the refractive indices for the two colors, it can be concluded that
$f_{v} < f_{r}$ .

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