Bjorn the Garden Gnome is 1.5 cm tall and placed 3 cm in front of a concave mirr

Question

Bjorn the Garden Gnome is 1.5 cm tall and placed 3 cm in front of a concave mirror with radius of curvature 10 cm. a) Where is the image of Bjorn formed? Obehind the mirror Ono image is formed O in front of the mirror b) What is the image distance from the mirror? c) What is the height of the image? hi cm d) What is the magnification? e) The image is O virtual O real f) If Bjorn is moved a small amout farther from the mirror, the image will O move further from the mirror and shrink in size O mover further from the mirror and grow in size O move closer to the mirror and grow in size O move closer to the mirror and shrink in size

Explanation / Answer

for concave mirror,

f = R/2 = 5 cm

object distance, p = 3 cm

1/f = 1/p + 1/q

1/5 = 1/3 + 1/q

q = - 7.5 cm

(A) behind the mirror

(B) image distance = 7.5 cm

(C) hi = (7.5/3)(1.5) = 3.75 cm

(D) m = - q / p = 2.5

(E) q is negative so image is virtual.

(f) p decreases then q increases.

so move further from mirror and grow in size.

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