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…
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 cm.
Answer
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 $h_{o} = 6$ cm, $d_{o}=8$ cm and $d_{i} = 4$ cm.
Step2: Solve for $h_{i}$
From $m=\frac{h_{i}}{h_{o}}=-\frac{d_{i}}{d_{o}}$, we can re - arrange to find $h_{i}=-\frac{d_{i}}{d_{o}}\times h_{o}$. Substitute the given values: $h_{i}=-\frac{4}{8}\times6$. First, calculate $\frac{4}{8}=\frac{1}{2}$, then $h_{i}=-\frac{1}{2}\times6=- 3$ cm. The negative sign indicates that the image is inverted. The magnitude of the height of the image is 3 cm.
Answer:
3