A combination of two lenses of power +2.0 D and -0.25 D is equivalent to a single lens of power:
- AOption (a)
+1.75 D
- BOption (b)
+2.25 D
- COption (c)
-3.5 D
- DOption (d)
+1.25 D
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Correct answer
+1.75 D
Why this answer is correct
The correct answer is +1.75 D.
Key Points
- The power of a lens is measured in diopters (D).
- The power of a combination of lenses is equal to the algebraic sum of the powers of the individual lenses.
- Given lens powers: +2.0 D and -0.25 D.
- To find the equivalent power, add the powers of the two lenses:
- +2.0 D + (-0.25 D) = +1.75 D.
- Thus, the combination of these two lenses is equivalent to a single lens of power +1.75 D.
Additional Information
- Lens Power
- Diopter (D) is the unit of measurement for the optical power of a lens.
- A lens with a power of +1 diopter brings parallel rays of light to focus at 1 meter.
- The power of a lens is the reciprocal of its focal length in meters (P = 1/f).
- Positive power indicates a converging lens, while negative power indicates a diverging lens.
- Combination of Lenses
- When lenses are combined, their individual powers add algebraically.
- This is useful in optical instruments like microscopes and telescopes.
- It is important to consider the sign of the power for accurate calculations.