A student photographs a 18cm flower so it fills half of a 24mm slide. What is the magnification?
(1/2)*24 mm/180 mm = 1/15
The image is smaller than the flower by that factor.
To find the magnification, we need to compare the size of the object (the flower) to its image.
First, we need to convert the units to a consistent one. Let's convert centimeters to millimeters. Since 1 cm = 10 mm, the size of the flower is 18 cm x 10 mm/cm = 180 mm.
Now, let's find the size of the image. We know that the flower fills half of the 24 mm slide. Therefore, the size of the image is 24 mm x 0.5 = 12 mm.
The magnification can be calculated using the formula:
Magnification = size of image / size of object.
Plugging in the values:
Magnification = 12 mm / 180 mm = 1/15 ≈ 0.067.
Therefore, the magnification is approximately 0.067.