Pil Calculator Periodic Table Question 4 of 15 Incorrect Map presented by E COLL

Question

Pil Calculator Periodic Table Question 4 of 15 Incorrect Map presented by E COLLEGE Physics sapling learning An object 1.30 cm high is held 3.00 cm froma person's cornea, and its reflected image is measured to be 0.167 cm high. What is the magnification? Number Where is the image? Number cm Find the magnitude of the radius of curvature of the convex mirror formed by the cornea. Number cm Note: this technique is used by optometrists to measure the curvature of the cornea for contact lens fitting. The instrument used is called keratometer, or curve measurer. A Previous Check An Next Exit 8 Hint

Explanation / Answer

apply for converginh lens 1/f = 1/u + 1/v

u = oject distance,

v= image distance

and f = focal length

magnifiication m = -(v/u)

apply for diverginh lens -1/f = 1/u + 1/v

u = oject distance, v= image distance and f = focal length

magnifiication m = -(v/u) =y'/y ) =y'/y

so from magnification m = v/u = y'/y = 0.167/1.3

m = 0.1284

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given u = 3 cm

as m = v/u = 0.1283

v = 0.1284 u

v = image distance = 0.1284 * 3

v = 0.3852 cm

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use f = uv/u+v

f = 3 * 0.3852/( 3+ 0.3852)

f = 0.3412 cm

f = R/2

so radius R = 2f = 0.682 cm

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