Question

A small particle is placed at the pole of a concave mirror and then moved along the principal axis to a large distance. During the motion, the distance between the pole of the mirror and the image is measured. The procedure is then repeated with a convex mirror, a concave lens and a convex lens. The graph is plotted between image distance versus object distance. Match the curves shown in the graph with the mirror or lens that is corresponding to it. (Curve 1 has two segments) [Click and drag to move]

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$\begin{array}{cccccc}& \text{Column 1}& & \text{Column 2 (Graph)}& & \text{Column 3 (Power)}\\ \text{(I)}& \text{Convex lens}& \text{(i)}& 1& \text{(P)}& \text{Positive}\\ \text{(II)}& \text{Convex mirror}& \text{(ii)}& \text{2}& \text{(Q)}& \text{Zero}\\ \text{(III)}& \text{Concave lens}& \text{(iii)}& 3& \text{(R)}& \text{Infinite}\\ \text{(IV)}& \text{Concave mirror}& \text{(iv)}& 5& \text{(S)}& \text{Negative}\end{array}$

Which of the option correctly matches with convex mirror?

• A. (II), (ii), (R)
• B. (II), (i), (R)
• C. (II), (iv), (P)
• D. (II), (iv), (S)

Answer 1

The correct option is C

(II), (iv), (P)

For convex mirror graph 5 correctly depicts the correct graph. As the focus is on the positive side for a convex mirror, so the power will have a positive sign convention as power is reciprocal of the focal length.