Consider a borosilicate spherical glass ball of 2.4 mm diameter. An object is placed at a distance "d" away from the vertex of the spherical ball. If the refractive index of borosilicate is 1.5 and with paraxial approximation

1) Where should the object (d?) be placed such that, a person looking from the right can see the object sharp with a relaxed eye (hint: parallel rays of light focus on the retina for a relaxed eye) (6 points) 2) Jay saw this problem in his midterm exam and thought of treating the crystal ball as a thin lens. He used the lens-maker formula to calculate the focus from the radius of curvature and the refractive indices, and then used the thin lens formula. What answer would he get for the image location? Would that be accurate? (4 points)

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