Question

the focal length of convex lens for red light is 50 cm what is the focal length of same lenses for blue light given the refractive Indices for light for red and blue are 1.5 and 1.56 then​

Answer 1

Answer:

the focal length of same lenses for blue light is 44.64 cm

Explanation:

As we know that the focal length of the lens is given by lens makers formula as

$\frac{1}{f} = (\mu - 1)(\frac{1}{R_1} - \frac{1}{R_2})$

now we have two different colors of light for which the refractive index is different

so we will have

$\frac{f_2}{f_1} = \frac{(\mu_1 - 1)(\frac{1}{R_1} - \frac{1}{R_2})}{(\mu_2 - 1)(\frac{1}{R_1} - \frac{1}{R_2})}$

so we know that

$\mu_1 = 1.5$

$\mu_2 = 1.56$

so we will have

$\frac{f_2}{f_1} = \frac{(1.5 - 1)}{(1.56 - 1)}$

so we will have

$\frac{f_2}{50} = \frac{0.50}{0.56}$

$f_2 = 44.64 cm$

#Learn

Topic : Lens Makers Formula

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