A convex mirror has a radius of curvature whose magnitude is 49cm. The mirror is

Question

A convex mirror has a radius of curvature whose magnitude is 49cm. The mirror is positioned on a horizontal optical bench with its front surface at 0cm. A 9.0cm long fluorescent lamp oriented vertically is placed at + 93cm. What is the focal length of the mirror? Answer: At what distance from the mirror can we find a sharp image of the lamp? Answer: How tall is the image of the lamp? Answer: If the convex mirror were replaced by a plane mirror and the lamp moved to 230cm from the plane mirror, how tall would the image be? Answer:

Explanation / Answer

a)The focal length for a convex mirror is negative and equal to R/2=-24.5Cm

b)Using mirror formula,

1/v+1/93=-1/24.5

v=-19.39Cm

c)h=h0*-v/u=9*19.39/93=1.88Cm

d) The length of the image is same as object in case of plane mirror and is therefore 9Cm tall

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