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Focal Length of Concave Mirror with Real Image Calculator

Formula

The formula to calculate the Focal Length of Concave Mirror with Real Image is:

$f_{\text{concave, real}} = \frac{v_{\text{concave, real}} \cdot u_{\text{concave, real}}}{v_{\text{concave, real}} + u_{\text{concave, real}}}$

Where:

$f_{\text{concave, real}}$ is the focal length (m)
$v_{\text{concave, real}}$ is the image distance (m)
$u_{\text{concave, real}}$ is the object distance (m)

Definition

The Focal Length of Concave Mirror with Real Image is the distance between the mirror's vertex and the image formed by the mirror when the object is real, and the image is real.

Example Calculation

Let's assume the following values:

Image Distance (v) = 0.1 m
Object Distance (u) = 0.06 m

Using the formula:

$f_{\text{concave, real}} = \frac{v_{\text{concave, real}} \cdot u_{\text{concave, real}}}{v_{\text{concave, real}} + u_{\text{concave, real}}}$

Evaluating:

$f_{\text{concave, real}} = \frac{0.1 \cdot 0.06}{0.1 + 0.06}$

The Focal Length is 0.0375 meters.

Conversion Chart

Image Distance (m)	Object Distance (m)	Focal Length (m)
0.05	0.06	0.027272727273
0.06	0.06	0.030000000000
0.07	0.06	0.032307692308
0.08	0.06	0.034285714286
0.09	0.06	0.036000000000
0.1	0.06	0.037500000000
0.11	0.06	0.038823529412
0.12	0.06	0.040000000000
0.13	0.06	0.041052631579
0.14	0.06	0.042000000000
0.15	0.06	0.042857142857