A small object is placed at the centre of the bottom of a cylindric...

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A small object is placed at the centre of the bottom of a cylindrical vessel of radius \( 3 \mathrm{~cm} \) and height
\( \mathrm{P} \) \( 3 \sqrt{3} \mathrm{~cm} \) filled completely with a liquid. Consider

W the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. The apparent depth (in cm) of the image will be . (Given : Refractive index of liquid \( =\sqrt{3} \) )
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