Question

An object is placed 10 cm in front of a convex mirror of focal length 4 cm. Find the image location by drawing a ray tracing diagram to scale. Verify your answer using the lens equation.

Answer 1

Answer on Question #48662 – Physics – Optics

1. An object is placed $10\,\mathrm{cm}$ in front of a convex mirror of focal length $4\,\mathrm{cm}$. Find the image location by drawing a ray tracing diagram to scale. Verify your answer using the lens equation.

$$\begin{array}{l} v = 0.1\,m \\ f = 0.04\,m \\ \hline b - ? \end{array} \quad \begin{array}{l} \text{Solution.} \end{array}$$

One can calculate the image location using the lens equation:

$$\begin{array}{l} 1 + 1 = 1 \\ v + b = f, \end{array}$$

where $v$ ($b$) is the object location (the image location) and $f$ is the focal length.

So, $b = \dfrac{1}{1/f - 1/v} = \dfrac{1}{1/0.04 - 1/0.1} = 0.067\,(m)$.

Answer: $6.7\,\mathrm{cm}$

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