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Corrective Eyeglasses (Myopia): Concave lenses correct nearsightedness by diverging light rays before they enter the eye, allowing them to focus directly on the retina.
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Peepholes/Door Viewers: These provide a wide-angle view of the outside.
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Lasers: Used to expand laser beams for applications like laser scanning.
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Binoculars/Telescopes: Used to correct image orientation and reduce chromatic aberration. [1, 2, 3, 4]
Lens Formula and Power
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Lens Formula: \(\frac{1}{v} – \frac{1}{u} = \frac{1}{f}\) (where \(u\) is object distance, \(v\) is image distance, \(f\) is focal length).
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Focal Length: The focal length of a concave lens is always negative.
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Power: The power (\(P = \frac{1}{f}\)) is always negative, measured in diopters.
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Diverging Nature: Light rays parallel to the principal axis bend outward (diverge) after passing through the lens.
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Virtual Focus: The diverged rays appear to originate from a focal point (\(F\)) on the same side as the object.
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Image Formation: Regardless of object placement, the image is always virtual (cannot be projected on a screen), upright (not inverted), and smaller than the actual object.
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Shape: It is a concave-shaped lens (curves inward).
Image Characteristics by Position
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Object at Infinity: A diminished, point-sized, virtual, and upright image is formed at the focus.
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Object at Finite Distance: A diminished, upright, and virtual image is formed between the focus and the optical center.
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