Chapter 10.6, Problem 4bT

The angular magnification, $m_{\theta }$ , is defined as $m_{\theta }=\raisebox{1ex}{$\theta \text{'}$}\!\left/ \!\raisebox{-1ex}{$\theta $}\right.$ , where $\theta \text{'}$ and $\theta$ represent the angular sizes of the image and object, respectively. By convention, $\theta \text{'}$ and $\theta$ have opposite signs when the image is inverted.

Does the value of the angular magnification depend on the location of the observer? Explain. Consider the two examples in this tutorial. In each case, is the absolute value of the angular magnification greater than, less than, or equal to one? (If your answer depends on observer location, choose an observer who can see the entire image.)

Does the angular magnification tell you whether the image will appear larger than the object without the lens? Explain why or why not.