Q142 / 160 · AP EAMCET 2017 (26 Apr Shift 2) · Physics

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

  • A
    $\begin{aligned} & \mathrm{R}\left(\mu_1-\mu_2\right) \end{aligned}$
  • Correct answer
    B
    $\begin{aligned} & \frac{\mathrm{R}}{\mu_1-\mu_2}\end{aligned}$
  • C
    $\begin{aligned} & \frac{\mu_1-\mu_2}{R}\end{aligned}$
  • D
    $\begin{aligned} & \frac{1}{R\left(\mu_1-\mu_2\right)}\end{aligned}$

Hence, the correct answer is option: 'B'.

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