a 2 cm object is 10 cm from a convex lens that has a focal length of 4.4 cm. the image is 8 cm from the…

Explanation:

Step1: Use magnification formula

The magnification formula is $m=\frac{h_i}{h_o}=-\frac{d_i}{d_o}$, where $h_i$ is the height of the image, $h_o$ is the height of the object, $d_i$ is the image - distance and $d_o$ is the object - distance. We are given that $h_o = 2$ cm, $d_o=10$ cm and $d_i = 8$ cm.

Step2: Rearrange the formula to solve for $h_i$

From $m=\frac{h_i}{h_o}=-\frac{d_i}{d_o}$, we can solve for $h_i$ by cross - multiplying. So $h_i=-\frac{d_i}{d_o}\times h_o$. Substitute the given values: $h_i=-\frac{8}{10}\times2$.

Step3: Calculate the value of $h_i$

$h_i = - 1.6$ cm. The negative sign indicates that the image is inverted. We are asked for the magnitude of the height, so the height of the image is $1.6$ cm.

Answer:

$1.6$