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Questions and Answers
What is the unit of measurement of the refractive power of a lens or a surface?
What is the unit of measurement of the refractive power of a lens or a surface?
dioptre, denoted as D
What is the sign convention for a lens that adds vergence to light?
What is the sign convention for a lens that adds vergence to light?
plus (+)
What is the medium that light travels in when entering the front surface of a lens?
What is the medium that light travels in when entering the front surface of a lens?
air (n)
What is the formula for calculating surface power in optics?
What is the formula for calculating surface power in optics?
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What is the surface of a lens that light exits through into air after travelling through the lens medium?
What is the surface of a lens that light exits through into air after travelling through the lens medium?
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What is the sign convention for the radius of curvature in optics?
What is the sign convention for the radius of curvature in optics?
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What is the purpose of a thin plus lens in optics?
What is the purpose of a thin plus lens in optics?
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What is the power of a lens that adds 2.00D of vergence to light?
What is the power of a lens that adds 2.00D of vergence to light?
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What is the condition for defining a plus lens?
What is the condition for defining a plus lens?
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What is the term used to describe the vergence of light leaving the back surface of a lens, which is used to number thick lenses?
What is the term used to describe the vergence of light leaving the back surface of a lens, which is used to number thick lenses?
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What is the relationship between the radius of curvature and the unit of measurement in optics?
What is the relationship between the radius of curvature and the unit of measurement in optics?
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What is the nominal power of a lens in optics?
What is the nominal power of a lens in optics?
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What is the sign convention for the radius of curvature of a surface in optics?
What is the sign convention for the radius of curvature of a surface in optics?
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What is the formula for calculating the nominal power of a thin lens using the lens maker's equation?
What is the formula for calculating the nominal power of a thin lens using the lens maker's equation?
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What is the surface power of a single surface with a radius of curvature of +20cm, if the refractive index of the medium light is entering is 1.5 and the refractive index of the medium light is leaving is 1.0?
What is the surface power of a single surface with a radius of curvature of +20cm, if the refractive index of the medium light is entering is 1.5 and the refractive index of the medium light is leaving is 1.0?
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What is the total power of a combination of two thin lenses with nominal powers of +2.00D and +3.00D, placed in contact with each other?
What is the total power of a combination of two thin lenses with nominal powers of +2.00D and +3.00D, placed in contact with each other?
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What is the relationship between the focal length of a lens and its nominal power?
What is the relationship between the focal length of a lens and its nominal power?
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What is the purpose of the lens maker's equation in optics?
What is the purpose of the lens maker's equation in optics?
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What is the vergence of light rays after passing through a lens that adds +4.00D of power?
What is the vergence of light rays after passing through a lens that adds +4.00D of power?
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What is the point on the optical axis where incident light with zero vergence leaves the lens and then crosses the optical axis?
What is the point on the optical axis where incident light with zero vergence leaves the lens and then crosses the optical axis?
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What is the distance from the secondary focal point to the lens, and what is it represented by?
What is the distance from the secondary focal point to the lens, and what is it represented by?
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What is the purpose of the sign convention in optics, specifically regarding the reference point of the lens?
What is the purpose of the sign convention in optics, specifically regarding the reference point of the lens?
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What is the difference between the primary focal point (F) and the secondary focal point (F')?
What is the difference between the primary focal point (F) and the secondary focal point (F')?
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What type of lens would have a positive secondary focal point, and what does it mean?
What type of lens would have a positive secondary focal point, and what does it mean?
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What is the purpose of a lens in optics, and how does it relate to the concept of vergence?
What is the purpose of a lens in optics, and how does it relate to the concept of vergence?
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Explain the relationship between the focal length of a lens and its nominal power.
Explain the relationship between the focal length of a lens and its nominal power.
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What is the optical axis of a lens, and how does it relate to the primary and secondary focal points/focal lengths?
What is the optical axis of a lens, and how does it relate to the primary and secondary focal points/focal lengths?
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What is a thin lens, and how is its nominal power calculated given the surface powers?
What is a thin lens, and how is its nominal power calculated given the surface powers?
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How does the power of a lens relate to the curvature of its surfaces?
How does the power of a lens relate to the curvature of its surfaces?
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What is the difference between a plus lens and a minus lens, and how do they relate to the concept of vergence?
What is the difference between a plus lens and a minus lens, and how do they relate to the concept of vergence?
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What is the primary purpose of spectacle lenses, and how do they achieve this purpose?
What is the primary purpose of spectacle lenses, and how do they achieve this purpose?
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What is the difference between a convex and concave lens surface, and how do they affect the vergence of incident light?
What is the difference between a convex and concave lens surface, and how do they affect the vergence of incident light?
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What is the relationship between the radius of curvature of a lens surface and its power?
What is the relationship between the radius of curvature of a lens surface and its power?
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What is the purpose of a thin lens in optics, and how does it affect the vergence of incident light?
What is the purpose of a thin lens in optics, and how does it affect the vergence of incident light?
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What is the term 'vergence' in optics, and how is it related to the power of a lens?
What is the term 'vergence' in optics, and how is it related to the power of a lens?
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What is the optical axis of a lens, and how is it related to the lens' power and focal length?
What is the optical axis of a lens, and how is it related to the lens' power and focal length?
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Study Notes
Refractive Power of a Lens
- The unit of measurement of the refractive power of a lens or a surface is the dioptre, denoted as D (DS for dioptre sphere, DC for dioptre cylinder)
- The power of a lens (in dioptres) is the reciprocal of the focal length of a lens
Surface Power of a Lens
- Formula for calculating the surface power of a lens: F = (n' - n) / r, where F is the power in dioptres (D), n is the refractive index of the incident medium, n' is the refractive index of the refracting medium, and r is the radius of curvature of the surface in metres
- Important to note what optical medium light is currently in and what it will be entering
Lens Terminology
- Optical axis: An imaginary line that is perpendicular to both sides of the lens, light passes through the optical axis undeviated
- Thin plus lens: Adds positive vergence to light rays, light rays leaving the lens will now have a positive vergence
- Types of lenses: Plano-convex, equi-convex, bi-convex, positive meniscus lens
Thin Lenses
- Lens makers equation: Relates power nominal power of a thin lens to refractive index and radius of curvature
- Formula for calculating the nominal power of a thin lens: P = (n' - n) (1/r1 - 1/r2), where n' is the refractive index of the medium light is entering, n is the refractive index of the medium light is leaving, r1 is the radius of curvature of the front surface, and r2 is the radius of curvature of the back surface
Focal Length and Vergence
- Focal length to dioptres: +50cm = +0.5m, R = 1 +0.5 = +2m-1
- Vergence: The amount of bending of light rays, measured in dioptres
- Primary focal point (F): The point on the optical axis where rays diverging from a source would have zero vergence when they exit the lens
- Secondary focal point (F’): The point on the optical axis where incident light (zero vergence) leaves the lens and then crosses the optical axis
Learning Outcomes
- Define the definition of a lens and the three general functions it performs
- Recall the three basic types of surface
- Define the characteristics of plano, convex and concave surfaces
- Recall the two basic lens forms and their characteristics
- State the unit of refractive power and how the power of a lens relates to focal length
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Description
Test your knowledge on calculating the nominal power of a thin lens using the Lens Maker's Equation. Understand how to relate power, refractive index, and radius of curvature in lenses.