JEE Advanced | 2015Basic Maths and Units and DimensionsHard

Question

Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S1 on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S2. The distance d is :
                               

Options

A.60 cm
B.70 cm
C.80 cm
D.90 cm

Solution


For first surface

V = 50 cm
for second surface

d = 70 cm
∴ (B)

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