The refractive index of a converging lens is $1.4$.

Question:

The refractive index of a converging lens is $1.4$. What will be the focal length of this lens if it is placed in a medium of same refractive index ?

(Assume the radii of curvature of the faces of lens are $R_{1}$ and $R_{2}$ respectively)

  1. 1

  2. Infinite

  3. $\frac{\mathrm{R}_{1} \mathrm{R}_{2}}{\mathrm{R}_{1}-\mathrm{R}_{2}}$

  4. Zero


Correct Option: , 2

Solution:

(2)

$\frac{1}{\mathrm{~F}}=\left[\frac{\mu_{\mathrm{L}}}{\mu_{\mathrm{s}}}-1\right]\left[\frac{1}{\mathrm{R}_{1}}-\frac{1}{\mathrm{R}_{2}}\right]$

If $\mu_{\mathrm{L}}=\mu_{\mathrm{S}} \Rightarrow \frac{1}{\mathrm{~F}}=0 \Rightarrow \mathrm{F}=\infty$

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