An object is positioned 24 cm from a spherical concave mirror of unknown focal l

Question

An object is positioned 24 cm from a spherical concave mirror of unknown focal length. The image that is formed is 30 cm from the mirror. Calculate the focal length. (Enter NONE if a particular answer docs not exist.) postive image distance negative image distance Is this answer unique? Yes, there is only one possible focal length. No, there are two possible focal lengths. Is the image real or virtual? The image is real. The image is virtual. Both images are real. Both images are virtual. One image is real and the other is virtual. The image is neither real nor virtual. If the object is 10 cm tall, determine the height of the image(s). pcstive image distance negative image distance

Explanation / Answer

we know that 1/f = 1/u + 1/v

u = 24 cm

v = 30 cm

1/f = 1/24 + 1/30

f = 13.33 cm..........Ans.

b) there is one focal length

c) image is real

d). M = -v/u = 30/24 = 1.25

image = 10*1.25 = 12.5 cm

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