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Dental Mirror Problem... A dentist uses a curved mirror to view teeth on the upp

ID: 1746147 • Letter: D

Question

Dental Mirror Problem... A dentist uses a curved mirror to view teeth on the uppersideof the mouth. Suppose she wants an upright image with amagnification of 2.00 when the mirroris 1.25 cm from a tooth.(Treat this problem as though the object and image lie along astraight line.)
a) What kind of mirror (concave or convex) is needed?(No calculations are neededto determine this. Explain your reasoning.) b) What must be focal length and radius of curvature of thismirror? c) is this image real or virtual? Dental Mirror Problem... A dentist uses a curved mirror to view teeth on the uppersideof the mouth. Suppose she wants an upright image with amagnification of 2.00 when the mirroris 1.25 cm from a tooth.(Treat this problem as though the object and image lie along astraight line.)
a) What kind of mirror (concave or convex) is needed?(No calculations are neededto determine this. Explain your reasoning.) b) What must be focal length and radius of curvature of thismirror? c) is this image real or virtual?

Explanation / Answer

Given :           Objectdistance ( u ) = 1.25 cm                   Magnification (M) = - v / u   = 2.00              Image distance ( v ) = - 2.00 * 1.25   = - 2.5 cm (a)         Concave Mirror isused. (b) We know that :            1/f = 1/u + 1/v            1/f = 1/1.25 + 1/ (-2.5)            f = 2.5 cm We have :             Radius of cuvature (R) = 2 f   = 2 * 2.5 = 5 cm (c)      Image is real Hope this helps u!
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