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(D) The focal length of a lens is given by the Lens Maker's Formula: $\frac{1}{f} = (\frac{n_L}{n_m} - 1)(\frac{1}{R_1} - \frac{1}{R_2})$.For a double

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$L_2$ and immersed in $L_1$

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(D) The focal length of a lens is given by the Lens Maker's Formula: $\frac{1}{f} = (\frac{n_L}{n_m} - 1)(\frac{1}{R_1} - \frac{1}{R_2})$.For a double concave lens,$R_1$ is negative and $R_2$ is positive,so $(\frac{1}{R_1} - \frac{1}{R_2}) For the lens to diverge light,it must act as a concave lens,meaning its focal length $f$ must be negative.This requires $(\frac{n_L}{n_m} - 1) > 0$,which implies $n_L > n_m$.Given $n_2 > n_1 > 1$,if the lens is filled with $L_2$ $(n_L = n_2)$ and immersed in $L_1$ $(n_m = n_1)$,then $n_L > n_m$ is satisfied.Therefore,the lens will diverge a parallel beam of light.

$A$ hollow double concave lens is made of very thin transparent material. It can be filled with air or either of two liquids $L_1$ or $L_2$ having refractive indices $n_1$ and $n_2$ respectively $(n_2 > n_1 > 1)$. The lens will diverge a parallel beam of light if it is filled with

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