A film projector produces a 1.51 m image of a horse on a screen if the projector lens is 4.00m from the screen and the size of the horse on the film is 1.07cm what’s the magnification of the image
151 cm / 1.07 cm
To calculate the magnification of the image, we can use the formula:
Magnification = Image size / Object size
In this case, we know the image size is 1.51 m, and the object size is 1.07 cm. However, we need to ensure that both sizes have the same unit. Let's convert 1.07 cm to meters:
1 cm = 0.01 m
Therefore, 1.07 cm = 1.07 * 0.01 = 0.0107 m
Now we can calculate the magnification:
Magnification = 1.51 m / 0.0107 m
Magnification ≈ 141.12
Therefore, the magnification of the image is approximately 141.12.
To determine the magnification of the image produced by the projector, we can use the following formula:
Magnification = Size of Image / Size of Object
Given that the size of the horse on the film is 1.07 cm and the size of the image on the screen is 1.51 m, we need to convert the units so they are consistent.
1. Convert the size of the horse on the film from centimeters to meters:
Size of Object = 1.07 cm = 1.07 cm / 100 cm/m = 0.0107 m
2. Now, we can calculate the magnification:
Magnification = Size of Image / Size of Object
Magnification = 1.51 m / 0.0107 m
Calculating this division, we find that the magnification of the image produced by the projector is approximately 141.12.