An object placed 19.0 cm from a concave mirror produces a real image 12.7 cm from the mirror.If the object is now moved to a new position 27.0 cm from the mirror,where is the new image located as measured from the mirror?
A)7.61 cm
B)10.6 cm
C)5.94 cm
D)18.0 cm
E)20.7 cm

Question

Quizplus · Accepted Answer

Using the mirror formula:

1/f = 1/di + 1/do

where f is the focal length of the mirror, di is the image distance, and do is the object distance.

We can solve for f using the first set of data:

1/f = 1/12.7 + 1/19.0

f ≈ -28.3 cm (negative sign indicates a concave mirror)

Now we can use the same formula to find the new image distance:

1/-28.3 = 1/di + 1/27.0

di ≈ 10.6 cm

Therefore, the new image is located 10.6 cm from the mirror, as measured from the mirror itself.

The answer is B.

An Object Placed 19