A particle executes linear S.H.M. along the principal axis of a convex lens of focal length $8 \mathrm{~cm}$. The mean position of oscillation is at $14 \mathrm{~cm}$ from the lens with amplitude $1 \mathrm{~cm}$. The amplitude of oscillating image of the particle is nearly
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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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