A) A convex mirror has a radius of curvature whose magnitude is 43 cm. The mirro

Question

A) A convex mirror has a radius of curvature whose magnitude is 43 cm. The mirror is positioned on a horizontal optical bench with its front surface at 0 cm. A 11.5 cm long fluorescent lamp oriented vertically is placed at +96 cm. What is the focal length of the mirror?

B) At what distance from the mirror can we find a sharp image of the lamp?

C) How tall is the image of the lamp?

D) If the convex mirror were replaced by a plane mirror and the lamp moved to 204 cm from the plane mirror, how tall would the image be?

Explanation / Answer

A) f = R/2

= 43/2

= 21.5 cm

a convex morror always has negtive focal length,f = -21.5 cm <<<----Answer

B) object distance, u = 96 cm

let v is image distance.

Apply, 1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = -1/21.5 - 1/96

v = -17.57 cm <<<----Answer

C)

magnification, m = -v/u

= -(-17.57/96)

= 0.183

image height = m*object height

= 0.183*11.5

= 2.1 cm <<<----Answer

D) for plane mirror m =1

so, image height = object height

= 11.5 cm <<<----Answer

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