Question

Учень зріст якого 160 см стоїть на відстані 4 м від фотоапарата його зображення на фотоплівці заввишки 16 мм обчисліть фокусну відстань об'єктива фотоапарата

Answer 1

Дано:

h=160 см=1,6 м

d=4 м

H=16 мм=0,016 м

F-?

h/H=d/f

f=H×d/h=0,016×4/1,6=0,04 м

F=(df)/(f+d)=(4×0,04)/(0,04+4)=0,16/4,04≈0,04 м

Відповідь:F=0,04 м.

Answer 2

Calculation of the focal length of the camera lens

To calculate the focal length of the camera lens, we can use the formula:

focal length = (object height * distance to object) / image height

Given the following values: - Object height (h) = 160 cm - Distance to object (d) = 4 m - Image height (H) = 16 mm

Let's substitute these values into the formula and calculate the focal length:

focal length = (160 cm * 4 m) / 16 mm

First, let's convert the units to a consistent system. We'll convert the object height from centimeters to meters and the image height from millimeters to meters:

- Object height (h) = 160 cm = 1.6 m - Image height (H) = 16 mm = 0.016 m

Now, let's substitute the converted values into the formula:

focal length = (1.6 m * 4 m) / 0.016 m

Simplifying the equation:

focal length = 400 m / 0.016 m

focal length = 25,000 mm

Therefore, the focal length of the camera lens is 25,000 mm.

Please note that this calculation assumes a simplified model of a camera lens and does not take into account other factors such as lens distortion or the specific design of the camera lens.