derive relation between focal length and radius of curvature of a spherical mirror
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The focal length of a spherical mirror is equal to half of its radius of curvature
{f = 1/2 R}.Proof: In below figure1 and 2, a ray of light BP'travelling parallel to the principal axis PC is incident on a spherical mirror PP'. After reflection, it goes along P'R, through the focus F P is the pole and F is the focus of the mirror. The distance PF is equal to the focal length f. C is the centre of curvature. The distance PC is equal to the radius of curvature R of the mirror. P'C is the normal to the mirror at the point of incidence P'.
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{f = 1/2 R}.Proof: In below figure1 and 2, a ray of light BP'travelling parallel to the principal axis PC is incident on a spherical mirror PP'. After reflection, it goes along P'R, through the focus F P is the pole and F is the focus of the mirror. The distance PF is equal to the focal length f. C is the centre of curvature. The distance PC is equal to the radius of curvature R of the mirror. P'C is the normal to the mirror at the point of incidence P'.
HOPE THIS WILL HELP U
♥️ PLEASE MARK AS BRAINLIST ♥️
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in this question we prove the relation between them
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If a spherical mirror has a large aperture, it does not have a single focus. Instead, it has a curve of foci, forming what is known as a caustic curve. The conventional focus is one point on the curve.
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