Question

An object is 12.0 cm from a

concave mirror with f = 15.0 cm.
Find the image distance.
(Mind your minus signs.)
(Unit = cm)

Answer 1

60 cm

Step-by-step explanation:

the U (obj. distance) = 12 as it is a concave mirror then u = -12cm

the f = -15cm

by mirror formula

1/v + 1/u = 1/f

by substituting values

1/v + (1/-12) = 1/-15

1/v = 1/-15 -(1/-12)

1/v = 1/-15 + 1/12

by taking L C M 60

1/v = -(4/60) + 5/60

1/v = 1/60

so V = 60 cm

Answer 2

To find the image distance formed by a concave mirror, we can use the mirror equation:

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.

In this case, the object distance (do) is given as 12.0 cm, and the focal length (f) is given as 15.0 cm. We can rearrange the equation to solve for the image distance (di):

1/di = 1/f - 1/do

Substituting the given values:

1/di = 1/15 - 1/12

To simplify this expression, we need to find a common denominator:

1/di = (12 - 15)/(12 * 15)

1/di = -3/180

Now, we can invert both sides to find di:

di = 180/-3

di = -60 cm

Therefore, the image distance is -60 cm. The negative sign indicates that the image is formed on the same side as the object (in this case, it is a virtual image).