Question

Use the diagram below to answer the following question:An object is 3.0 cm from a concave mirror, with a focal length of 1.5 cm. Calculate the image distance. Remember to include your data, equation, and work when solving this problem.

Answer 1

Given:

The object distance is u = - 3 cm

The focal length is f = -1.5 cm

To find the image's distance.

Step-by-step explanation:

Image distance can be calculated using the mirror formula

`\begin{gathered} (1)/(u)+(1)/(v)=(1)/(f) \\ (1)/(v)=(1)/(f)-(1)/(u) \end{gathered}`

On substituting the values, the image distance will be

`\begin{gathered} (1)/(v)=-(1)/(1.5)-(1)/(3) \\ (1)/(v)=-(1)/(1) \\ v=-1\text{ cm} \end{gathered}`

Thus, the image distance is 1 cm.