A 15.0 meter tree projects a 25.0 cm tall image with a convex lens. What is the magnification?
To find the magnification, we can use the formula:
Magnification (m) = Image Height (hi) / Object Height (ho)
In this case, the image height is given as 25.0 cm and the object height is the height of the tree, which is 15.0 meters. However, we need to make sure that both measurements are in the same unit.
Converting the object height from meters to centimeters:
15.0 meters = 15.0 meters × 100 centimeters/meter = 1500 centimeters
Now that we have the object height in centimeters, we can substitute the values into the formula:
m = 25.0 cm / 1500 cm
Simplifying:
m = 0.0167
So, the magnification is approximately 0.0167 or 1/60.