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A double convex lens made of glass of refractive index $$1.5$$ and radii of curvature of the curved surfaces $$20\,\mathrm{cm}$$ each is immersed in a liquid of refractive index $$n_L$$. The correct plot showing the variation of the power, in the units of diopter ($$D$$), as a function of $$n_L$$ is:
$$\frac{1}{\mathrm{f}} = \left( \frac{1.5}{\mathrm{n}} - 1 \right) \left( \frac{1}{0.2} - \frac{1}{-0.2} \right) = \left( \frac{1.5}{\mathrm{n}} - 1 \right) \cdot 10$$
$$\mathrm{P} = \frac{1}{\mathrm{f}}$$
$$\mathrm{P} = \frac{15}{\mathrm{n}} - 10$$
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