Question

a 2 cm object is 10 cm from a convex lens that has a local length of 4.4 cm. the image is 8 cm from the lens. the height of the image, to the tenths place, is cm.

Explanation:

Step1: Use magnification formula

The magnification formula is $m=\frac{h_{i}}{h_{o}}=\frac{v}{u}$, where $h_{i}$ is the image height, $h_{o}$ is the object height, $v$ is the image distance and $u$ is the object distance.

Step2: Substitute values

Given $h_{o} = 2$ cm, $u=10$ cm, $v = 8$ cm.
From $m=\frac{h_{i}}{h_{o}}=\frac{v}{u}$, we can solve for $h_{i}$:
$h_{i}=\frac{v}{u}\times h_{o}$
Substitute the values: $h_{i}=\frac{8}{10}\times2$

Step3: Calculate

$h_{i}=1.6$ cm.

Answer:

$1.6$