PhysicsAn observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure.  The beaker height is 3h and its radius h.  When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod.  Then the refractive index of the liquid is

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure.  The beaker height is 3h and its radius h.  When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod.  Then the refractive index of the liquid is

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    Solution:

    The line of sight of the observer remains constant, making an angle of 45° with the normal.

    sinθ=hh2+2h2=15

    μ=sin45osinθ=1/21/5=52=1.58

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