What is the magnification? position of the final image?
A transparent rod 50 cm long and with a refractive index of 1.6 is cut flat at the right end and rounded to a hemispherical surface with a 15 cm radius at the left end. An object is placed on the axis of the rod, 12 cm to the left of the vertex of the hemispherical end. (a) what is the position of the final image? (b) What is its magnification?
Use na/do + nb/di = (nb - na)/R
Here na = 1.00 air and nb = 1.6 and R = 15
So 1/12 + 1.6/di = (1.6 - 1.0)/15 =>
1.6/di = 0.6/15 - 1/12 = -0.043333
So di = 1.6/(-0.043333) = -36.9cm which is 36.9cm to the left of the vertex
b) m = -1*di/nb*do = -1.0*(-36.9)/(1.6*12) = 1.92
U10050 Transparent Stirling Engine
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