Object Distance in Concave Mirror with Real Image Calculator

Formula

The formula to calculate the Object Distance in Concave Mirror with Real Image is:

\[ u_{\text{concave, real}} = \frac{v_{\text{concave, real}} \cdot f_{\text{concave, real}}}{v_{\text{concave, real}} - f_{\text{concave, real}}} \]

Where:

\(u_{\text{concave, real}}\) is the Object Distance in Concave Mirror Real Image (m)
\(v_{\text{concave, real}}\) is the Image Distance of Concave Mirror Real Image (m)
\(f_{\text{concave, real}}\) is the Focal Length of Concave Mirror with Real Image (m)

Definition

Object Distance in Concave Mirror Real Image is the distance between the object and the real image formed by a concave mirror, which is used to determine the magnification and nature of the image.

Example Calculation

Let's assume the following values:

Image Distance of Concave Mirror Real Image (\(v_{\text{concave, real}}\)) = 0.1 m
Focal Length of Concave Mirror with Real Image (\(f_{\text{concave, real}}\)) = 0.0375 m

Using the formula:

\[ u_{\text{concave, real}} = \frac{0.1 \cdot 0.0375}{0.1 - 0.0375} \]

Evaluating:

\[ u_{\text{concave, real}} = 0.06 \text{ m} \]

The Object Distance in Concave Mirror Real Image is 0.06 m.

Conversion Chart

Image Distance of Concave Mirror Real Image (m)	Focal Length of Concave Mirror with Real Image (m)	Object Distance in Concave Mirror Real Image (m)
0.05	0.0375	0.150000000000
0.06	0.0375	0.100000000000
0.07	0.0375	0.080769230769
0.08	0.0375	0.070588235294
0.09	0.0375	0.064285714286
0.1	0.0375	0.060000000000
0.11	0.0375	0.056896551724
0.12	0.0375	0.054545454545
0.13	0.0375	0.052702702703
0.14	0.0375	0.051219512195
0.15	0.0375	0.050000000000