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Question

A clear transparent glass sphere (μ=1.5) of radius R is immersed in a liquid of refractive index 1.25. A parallel beam of light incident on it will converge to a point. The distance of this point from the center will be

A
3R
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B
+3R
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C
R
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D
+R
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Solution

The correct option is B +3R
μ1u+μ2v=μ2μ1R
1.25()+1.5v=1.51.25R or 1.5v=0.25R
or v=1.5R0.25=6R
Again, μ2u+μ1v=μ1μ2R
1.54R+12.5v=1.251.5R
or 1.25v=14R+1.54R=2.54R
or =1.25×4R2.5=5R2.5
or v=2R.
Distance from the center =3R.
1588073_159363_ans_0e6d2073c163457dbb2f12bda3a1d133.jpg

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