The convex surface of a thin concavo-convex lens of glass of refractive index 1.5 has radius of ...

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The convex surface of a thin concavo-convex lens of glass of refractive index 1.5 has radius of curvature \( 20 \mathrm{~cm} \). The concave surface has a radius of curvature \( 60 \mathrm{~cm} \). The convex side is silvered and placed on a horizontal surface as shown in figure. (i) Where should a pin be placed on the axis so that its image is formed at the same place? (ii) If the concave part is filled with water \( (\mu=4 / 3) \), find the distance through which the pin should be moved so that the image of the pin again coincides with the pin.
(a) \( 14 \mathrm{~cm}, 1.14 \mathrm{~cm} \)
(b) \( 15 \mathrm{~cm}, 1.14 \mathrm{~cm} \)
(c) \( 16 \mathrm{~cm}, 1.14 \mathrm{~cm} \)
(d) \( 15 \mathrm{~cm}, 14 \mathrm{~cm} \)
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