A plano convex lens of material of refractive index $\mu_1$ exactly fits into a plano concave lens of…

A plano convex lens of material of refractive index $\mu_1$ exactly fits into a plano concave lens of material of refractive index $\mu_2$. If $R$ is the radius of curvature of the curved surfaces of the lenses and the plane surfaces of the lenses are parallel, the focal length of the combination is
  1. $\begin{aligned} & \mathrm{R}\left(\mu_1-\mu_2\right) \end{aligned}$
  2. $\begin{aligned} & \frac{\mathrm{R}}{\mu_1-\mu_2}\end{aligned}$
  3. $\begin{aligned} & \frac{\mu_1-\mu_2}{R}\end{aligned}$
  4. $\begin{aligned} & \frac{1}{R\left(\mu_1-\mu_2\right)}\end{aligned}$

Solution

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Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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