Please answer the question: A makeup mirror is designed so that it gives a magni

Question

Please answer the question:

A makeup mirror is designed so that it gives a magnification by a + 3 when held 30 cm in front of the face. Answer these questions in any order, circle the answer, and make sure that justification for that answer is plainly stated. Where does the image appears to be? (Give the distance and which side of the mirror the image appears on relative to the observer) What kind of mirror is it, convex or concave? What is its focal length? Is the image real or virtual? Is the image upright or inverted? What is the radius of curvature of the mirror?

Explanation / Answer

distance = 3 * 30

= 90cm [behnd the mirror i.e. virtual image]

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b) concave

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c) focal length = f

(1/30) - (1/90) = 1/f

1 / f = 0.022

f = 45 cm

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d) Image is virtual

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e) Image is upright

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f) R = 2f

= 2 * 45 cm

=90 cm

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