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Physics · Topic 46

Lenses: refraction, focal length and magnification

Sub-topic 1 2024 · National Preliminary Free

Optical power of a lens: true/false

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Sub-topic 2 2026 · National Quarterfinal Premium

Focal length and power of a compound (contact) lens system

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Sub-topic 3 2026 · National One-Eighth Premium

Magnification produced by a converging lens (virtual image)

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Sub-topic 4 2017 · National Quarterfinal Premium

Focal length of a thin plano-concave lens from its radius of curvature and refractive index

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Sub-topic 5 2013 · National Preliminary Premium

Riddle: the converging (convex) lens

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Sub-topic 6 2013 · National Preliminary Premium

Focal length of a lens from object distance when image forms at the object's location

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Sub-topic 7 2013 · National Quarterfinal Premium

Diverging lens corrects nearsightedness (myopia)

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Sub-topic 8 2013 · National Quarterfinal Premium

Cylindrical lens corrects astigmatism

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Sub-topic 9 2013 · National Quarterfinal Premium

Converging lens corrects farsightedness (hyperopia)

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Sub-topic 10 2013 · National Quarterfinal Premium

Lens focal length depends on both radii and refractive index, not just the radius (true/false)

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Sub-topic 11 2013 · National Quarterfinal Premium

Diverging lens corrects nearsightedness (repeat)

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Sub-topic 12 2013 · National Quarterfinal Premium

Magnification of a convex lens when the object is within the focal length

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Sub-topic 13 2013 · National Quarterfinal Premium

Object distance for a given magnification with a converging lens

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Sub-topic 14 2013 · National Quarterfinal Premium

Image distance for a given magnification with a converging lens

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Sub-topic 15 2014 · National Final Premium

Problem of the day: choosing lens type and focal length for a long-sighted (hyperopic) reader

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Sub-topic 16 2017 · National Quarterfinal Premium

Focal length of a thin plano-convex lens from its radius and refractive index (three variants)

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Sub-topic 17 2018 · National Preliminary Premium

Effective focal length of two thin lenses in contact (opposite-sign focal lengths)

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Sub-topic 18 2018 · National Preliminary Premium

Effective focal length of two identical thin lenses in contact

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Sub-topic 19 2018 · National Preliminary Premium

Effective focal length of two thin lenses in contact (a converging and diverging lens)

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Sub-topic 20 2018 · National Preliminary Premium

Focal length of a converging lens from an object distance and a threefold virtual, upright image distance

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Sub-topic 21 2020 · National One-Eighth Premium

Riddle: the lensmaker's formula relating lens power to surface radii

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Sub-topic 22 2022 · National Preliminary Premium

True or false: max magnification in a compound microscope occurs when the final image coincides with the objective lens

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Sub-topic 23 2023 · National One-Eighth Premium

Lens power: reciprocal of focal length, combined lenses, and sign convention (true/false)

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