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Questions and Answers
What is the unit of power of a lens?
What is the unit of power of a lens?
What is the power of a lens a measure of?
What is the power of a lens a measure of?
What is the formula to calculate the power of a lens?
What is the formula to calculate the power of a lens?
What is the sign convention for the power of a lens?
What is the sign convention for the power of a lens?
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When two or more lenses are combined, how do their powers behave?
When two or more lenses are combined, how do their powers behave?
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What is the total power of a combination of a convex lens with a power of +2D and a concave lens with a power of -3D?
What is the total power of a combination of a convex lens with a power of +2D and a concave lens with a power of -3D?
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Study Notes
Power of a Lens
Definition
- The power of a lens is a measure of its ability to converge or diverge light rays.
- It is defined as the reciprocal of the focal length of the lens.
Units
- The unit of power of a lens is dioptre (D).
- 1 dioptre is equivalent to a focal length of 1 metre.
Formula
- The power of a lens (P) can be calculated using the formula:
P = 1 / f
where f is the focal length of the lens in metres.
Sign Convention
- A converging lens (convex lens) has a positive power.
- A diverging lens (concave lens) has a negative power.
Lens Combinations
- When two or more lenses are combined, their powers add algebraically.
- The total power of the combination is the sum of the individual powers.
Example
- A convex lens has a power of +2D and a concave lens has a power of -3D. The total power of the combination is:
P_total = +2D - 3D = -1D
The combination behaves like a diverging lens.
Power of a Lens
- The power of a lens measures its ability to converge or diverge light rays.
- It is defined as the reciprocal of the focal length of the lens.
Units
- The unit of power of a lens is dioptre (D).
- 1 dioptre is equivalent to a focal length of 1 metre.
Formula
- The power of a lens (P) is calculated using the formula: P = 1 / f, where f is the focal length of the lens in metres.
Sign Convention
- Converging lenses (convex lenses) have positive power.
- Diverging lenses (concave lenses) have negative power.
Lens Combinations
- When combining two or more lenses, their powers add algebraically.
- The total power of the combination is the sum of the individual powers.
- The total power determines the behaviour of the combination, whether converging or diverging.
Example of Lens Combination
- A convex lens with a power of +2D combined with a concave lens with a power of -3D has a total power of -1D.
- The combination behaves like a diverging lens.
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Description
Learn about the power of a lens, its definition, units, formula, and sign convention. Understand how to calculate the power of a lens and its application in physics.