The power of the lens is +2.5D. What is the radius of the curvature?

PHYSICS
WAEC 2022

The power of the lens is +2.5D. What is the radius of the curvature?

  • A. 2.5 cm
  • B. 25.0 cm
  • C. 40.0 cm
  • D. 80.0 cm

Correct Answer: D. 80.0 cm

Explanation

The power of a lens is defined as the reciprocal of its focal length in metres:

P = \(\frac{100}{f}\) → 2.5 = \(\frac{100}{f}\)

where P is the power in diopters and f is the focal length in metres.

2.5 * f = 100

f = \(\frac{100}{2.5}\)

f = 40

Where f = \(\frac{r}{2}\)

radius of the curvature[r] = f * 2 → 40 * 2

r = 80cm



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