An object is located 8.8 cm in front of a mirror. The virtual image is located 1

Question

An object is located 8.8 cm in front of a mirror. The virtual image is located 1.4 cm away from the mirror and is smaller than the object. Based solely on the fact that the image is virtual, is the mirror concave or convex, or is either type possible? The image is smaller than the object, as well as virtual. Do these characteristics together indicate a concave or convex mirror, or is either type possible? Is the focal length positive or negative? Explain. a) A concave mirror always has a positive focal length. b) A concave mirror always has a negative focal length. c) A convex mirror always has a positive focal length. d) A convex mirror always has a negative focal length. Find the focal length of the mirror.(cm)

Explanation / Answer

u =8.8 cm, v =1.4 cm

Image is virual so it is Convex mirror

y2/y1 = v/u =1/4/8.8 =0.16

y2= 0.16y1

Image size < object size

Image is smaller than object so it is Covex mirror

The focal lenght is positive . Explaination is (c)

From lens formula:

(1/f) =(1/u) +(1/v)

(1/f) = - (1/8.8) +(1/1.4)

Focal length f = 1.67 cm

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