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A lens system has R = 20 cm, h0 = 2 cm, and u = -30 cm. Find the magnification and the nature of the image.

1. m = h0/v
2. v = 60 cm
3. m = hi/h0 = v/u
4. hi = v/u × h0 = -4 cm

Correct answer: hi = v/u × h0 = -4 cm

Solution

The magnification formula is m = hi/h0 = v/u, and the image height hi can be calculated as hi = (v/u) × h0. Substituting the given values, hi = (-60/-30) × 2 = -4 cm. This indicates the image is inverted.

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