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A concave mirror has a focal length of 35.5 cm. (a) What is its radius of curvat

ID: 1496598 • Letter: A

Question

A concave mirror has a focal length of 35.5 cm. (a) What is its radius of curvature? cm (b) Locate the image when the object distance is 100 cm. (Indicate the side of the mirror with the sign of your answer.) cm Describe the properties of the image when the object distance is 100 cm. (Select all that apply.) real virtual upright inverted (c) Locate the image when the object distance is 10.0 cm. (Indicate the side of the mirror with the sign of your answer.) cm Describe the properties of the image when the object distance is 10.0 cm. (Select all that apply.) real virtual upright inverted

Explanation / Answer

(a)The focal length (f) of spherically curved mirrors is half the radius of curvature (R)
R = 2f
R=2 x 35.5
=71

(b) 1/p+1/q=1/f
1/q=1/f-1/p
q=pf/p-q
=100x35.5/100-35.5
=55.038cm
m=-q/p
= -55.038/100
=-0.55
image is inverted and real

(c)1/p+1/q=1/f
1/q=1/f-1/p
q=pf/p-q
=10x35.5/10-35.5
=355/25.5
= -13.921cm

m=-q/p
-(-13.921)/10
=1.39
imgae is virtual upright

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