1. The outside mirror on the passenger side of a car is convex and has a focal l

Question

1. The outside mirror on the passenger side of a car is convex and has a focal length of -4.2 m. Relative to this mirror, a truck traveling in the rear has an object distance of 15 m.

(a) Find the image distance of the truck.
m

(b) Find the magnification of the mirror.
m

2. When an object is located very far away from a convex mirror, the image of the object is 18.0 cm behind the mirror. Using a ray diagram drawn to scale, determine where the image is located when the object is placed 3.0 cm in front of the mirror. Note that the mirror must be drawn to scale also. In your drawing, assume that the height of the object is 3.0 cm.
cm

behind the mirror

3. A 5.0-cm-high object is situated 19.0 cm in front of a concave mirror that has a radius of curvature of 12.0 cm. Use a ray diagram drawn to scale, measure the following. The mirror must be drawn to scale.

(a) the image distance (include the sign)
cm ?
(In front or in back of mirror ) ?

(b) the height of the image
cm ?

(upright or inverted) ?

Explanation / Answer

1)

(a) i used 1/f = 1/di + 1/do equation. i plugged do = 15 m and f = -4.2 m in the equation and obtained

di = -3.2812

(b) i used m = di/do and plugged in the numbers to obtain -0.21874.

2)

To draw the ray diagram first find the focal length.

1/si + 1/so = 1/f
1/-18cm + 1/? = 1/f
f=-18cm

3)

1.
1 / 19 + 1 / v = 2 / 12
1 / v = 1 / 6 - 1 / 19
v = 8.769 cm.

H = vh / u
= 8.769 * 2.0 / 19
= 0.92307 cm.

That's an inverted, real image in front of the mirror.

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