First slide

Spherical/Curved mirrors

Question

Variation of v with u for a spherical mirror is as shown in figure. This curve is a hyperbola. A straight line of unit slope intersects the hyperbola at point ‘A’. If the focal length of mirror is 20 cm, coordinates of point A are:

Moderate

A

20 cm, 10 cm
B

40 cm, 40 cm
C

40 cm, 20 cm
D

20 cm, 20 cm

Solution

The coordinate of point A are $(2 f, 2 f)$ .

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