Question

A person looks at a gem stone using a converging lens with a focal length of 12.5 cm. The lens forms a virtual image 30.0 cm from the lens. Determine the magnification. Is the image upright or inverted?

Answer 1

THE MAGNIFICATION FROM THE GEMSTONE WILL HAVE 3.4 MAGNIFICATION. THE IMAGE WILL BE PRODUCE UPRIGHT.

Explanation:

WE WILL USE FORMULA ,

                                  $\frac{1}{f}$ = $\frac{1}{p} + \frac{1}{q}$

where q = -30.0 cm

            f = 12.5 cm

so, $p =\frac{1}{f}-\frac{1}{q}$   )⁻¹

         $=\frac{1}{12.5cm}-\frac{1}{-30 cm}$)⁻¹

         = 8.82353 cm

m= $\frac{-q}{p}$

=$-(\frac{-30}{8.82353})$

m= 3.4

so the magnification will be  3.4 which is upright image as magnification is positive.

As a person looks at gem stone using converging lens with focal length of 12.5 cm and virtual image 30 cm from lens the magnification for such will be  3.4  .And the image will be upright.