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Inside a vessel filled with liquid a converging lens is placed as shown in figure. The lens has focal length $15 \mathrm{~cm}$ when in air and has refractive index $\frac{3}{2}$. If the liquid has refractive index $\frac{9}{5}$, the focal length of lens in liquid is

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$-45 \mathrm{~cm}$

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