The distance of the object to the mirror is 12 cm. The focal length of the mirror is 10 cm. How far is the image from the mirror?
To calculate the distance of the image from the mirror, we can use the mirror formula, which is given by:
1/f = 1/di + 1/do
Where:
- f is the focal length of the mirror
- di is the distance of the image from the mirror
- do is the distance of the object from the mirror
Given that the focal length (f) is 10 cm and the distance of the object (do) is 12 cm, we can substitute these values into the formula:
1/10 = 1/di + 1/12
To solve for the distance of the image (di), we need to bring the equation to a common denominator:
12/120 = 10/120 + 1/di
Simplifying the equation, we have:
22/120 = 1/di
Cross-multiplying, we get:
22 * di = 120
di = 120/22
Simplifying further, we find:
di ≈ 5.45 cm
Therefore, the image is approximately 5.45 cm away from the mirror.