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A lens has ________ principal foci.
4
1
2
3
2
A transparent medium bounded by two spherical or flat surfaces forms a lens. Because light can pass through a lens from either side, every lens possesses two principal foci (F1тАЛ and F2тАЛ), one on each side along the principal axis.
A transparent medium bounded by two spherical or flat surfaces forms a lens. Because light can pass through a lens from either side, every lens possesses two principal foci (F1тАЛ and F2тАЛ), one on each side along the principal axis.
Think of a double-sided doorway: whether you enter from the left or right side, there is a designated entry point on each side. Similarly, light entering a lens from either direction creates a focus on both sides.
2 Surfaces = 2 Foci (F1тАЛ & F2тАЛ)
f1тАЛ=v1тАЛтИТu1тАЛ тАФ Lens Formula relating focal length (f), image distance (v), and object distance (u)
f1тАЛ=(nтИТ1)(R1тАЛ1тАЛтИТR2тАЛ1тАЛ) тАФ Lens Maker's Formula relating radii of curvature (R1тАЛ,R2тАЛ) and refractive index (n)
When light rays parallel to the principal axis fall on a lens, refraction occurs at both curved/flat surfaces. In a convex lens, these rays converge at a single point on the opposite side, while in a concave lens, they appear to diverge from a single point on the same side. Since light rays can travel from left to right or right to left, a lens has two symmetric focal points equidistantly placed from its optical centre (O).
A lens has two principal foci, usually denoted as first principal focus (F1тАЛ) and second principal focus (F2тАЛ).
The distance from the optical centre (O) to either principal focus is called the focal length (f), where OF1тАЛ=OF2тАЛ=f for a thin lens in a uniform medium.
Convex lenses have real principal foci, whereas concave lenses have virtual principal foci.
Formation of images in optical devices such as microscopes, telescopes, and cameras.
Correction of vision defects using convex (hypermetropia) and concave (myopia) lenses.
Option A (4) is incorrect; spherical mirrors have only 1 focus, while lenses have 2 foci, not 4.
Option B (1) is incorrect because a single spherical mirror has 1 focus, whereas a double-refracting lens has 2.
Option D (3) is incorrect; there are no optical components with 3 principal foci.
C is correct тАФ A lens has two principal foci (F1тАЛ and F2тАЛ) corresponding to the two direction paths light can take through its two refracting surfaces.
Remember that while a lens has 2 principal foci (F1тАЛ and F2тАЛ) and 2 centers of curvature (C1тАЛ and C2тАЛ), a spherical mirror has only 1 focus and 1 center of curvature.