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Q.

Bottom of glass beaker is made of a thin equi-convex lens having bottom side silver polished as shown in the figure. Now the water is filled in the beaker upto a height of h = 4 m. The image of point object floating at middle point of beaker at the surface of water coincides with it. The value of radius of curvature of lens (in m) is (μg=32,μw=43)
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answer is 5.

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Detailed Solution

PM'=2P2+PM P2=1f2=14R 1fm'=2×14R+2R=52R 1fm'=25R |h|=2|fm'| h=2×2R5=4 R = 5 m

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