Question

a 6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. the image is 4 cm from the lens. the height of the image is \boxed{} cm.

Explanation:

Step1: Recall magnification formula

$m = -\frac{v}{u} = \frac{h_i}{h_o}$

Step2: Plug in values

$u = 8\,\text{cm}, v = 4\,\text{cm}, h_o = 6\,\text{cm}$
$\frac{h_i}{6} = -\frac{4}{8}$
$h_i = 6 \times -\frac{1}{2} = -3\,\text{cm}$

Step3: Take absolute value for height

Height is positive: $3\,\text{cm}$

Answer:

3