Chapter SH, Problem 13.3APP

To determine

To calculate: Distance between penny and lens.

Answer to Problem 13.3APP

Distance between penny and lens is $\underset{\_}{2.3\text{ cm}}$ .

Explanation of Solution

Given:

Size of the penny = $2.0\text{ cm}$

Size of the image = $\text{5}\text{.2 cm}$

Distance of image from lens = $6.0\text{ cm}$

Formula used:

Magnification is given by,

  $\text{Magnification =}\frac{\text{Image size}}{\text{Object size}}$

or

  $\text{Magnification =}\frac{\text{Distance of image from lens}}{\text{Distance of object from lens}}$

Calculation:

Magnification is calculated as:

  $\begin{array}{l}\text{ Magnification =}\frac{\text{Image size}}{\text{Object size}}\\ =\frac{\text{5}\text{.2 cm}}{\text{2}\text{.0 cm}}\\ =2.6\end{array}$

Distance between penny and lens is calculated as:

  $\begin{array}{l}\text{ Magnification =}\frac{\text{Distance of image from lens}}{\text{Distance of object from lens}}\\ \text{ Distance of object from lens}=\frac{\text{Distance of image from lens}}{\text{Magnification }}\\ =\frac{6.0\text{ cm}}{2.6}\\ =2.3\text{ cm}\end{array}$

Conclusion:

Distance between penny and lens is $\underset{\_}{2.3\text{ cm}}$ .