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A plastic hemisphere has a radius of curvature of 8 cm and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one (4 cm from each) is a small object O. The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately

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answer is 4.

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Detailed Solution

Distance of image from the plane surface is:x1=41.6=2.5 cm   dapp=dactualμ  for  the  curved  side  1.64+1x2=1−1.68∴x2≈−3.0 cmThe minus sign means the image is on the object side∴I1−I2=8−2.5−3.0 cm =2.5 cm
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A plastic hemisphere has a radius of curvature of 8 cm and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one (4 cm from each) is a small object O. The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately