A shaving or makeup mirror is designed to magnify your face by a factor of 1.40

Question

A shaving or makeup mirror is designed to magnify your face by a factor of 1.40 when your face is placed 23.5 cm in front of it.

What type of mirror is it? O convex O concave Submit My Answers Give Up Part B Describe the type of image that it makes of your face. inverted, real and reduced upright, real and reduced O upright, virtual and magnified inverted, virtual and magnified Submit My Answers Give Up Part C Calculate the required radius of curvature for the mirror. Follow the sign conventions Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

part A

A concave mirror always produces enlarged image only when the object is between center of curvature of mirror and optic center .thus, the mirror that has to be used is concave mirror .

partB

the image produce by the concave mirror is upright , virtual and magnified when the object is closer to the mirror.

partC

magnification of the mirror is

m = v/u

v = m*u

mirror equation is

1/f = 1/v +1/u

1/f = 1/u (1 - 1/m)

1/f = 1/u (1 - 1/1.4)

1/f = 0.285 /u

f = u/0.285 = 23.5/0.285

f = 82.45 cm

radius of curvature is

R = 2*f

R = 2*82.45

R = 164.91cm

R = 1.64m

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