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Hello i dont know how to do it. A convex mirror has a radius of curvature whose

ID: 1628572 • Letter: H

Question

Hello i dont know how to do it.

A convex mirror has a radius of curvature whose magnitude is 45 cm. The mirror is positioned on a horizontal optical bench with its front surface at 0 cm. A 9.5 cm long fluorescent lamp oriented vertically is placed at +106 cm. What is the focal length of the mirror? What distance from the mirror can we find a sharp image of the lamp? How tall is the image of the lamp? If the convex mirror were replaced by a plane mirror and the lamp moved to 200 cm from the plane mirror, how tall would the Image be?

Explanation / Answer

focal length=-45/2=-22.5 cm

using

1/u + 1/v=1/f

u=106 cm

putting values we got

v=image location=-18.6 cm

image length=magnification*height of object=v/u*9.5=1.66 cm

for plane mirror

height of image =height of object=9.5 cm

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