Question

Оптическая сила объектива фотоаппарата 12,5 диоптрий, какова высота вагона на снимке,если снимок сделан с расстояния 10,0м а высота вагона равна 3,0 м.

Answer 1

d=10м  h=3м  D=12.5дтпр   H-?

D=1/d+1/f         f=1/(D*d-1)=10/124≈0.08

f/d=H/h             H=h*f/d=3/124≈0.024 м = 24 мм

Answer 2

Optical Power of the Camera Lens

The optical power of a camera lens is measured in diopters (D). Diopters represent the reciprocal of the focal length of the lens in meters. A lens with a higher diopter value has a stronger optical power, meaning it can focus on objects at a closer distance.

In this case, the camera lens has an optical power of 12.5 diopters. This indicates that the lens can focus on objects at a closer distance compared to a lens with a lower diopter value.

Calculating the Height of the Wagon in the Photo

To calculate the height of the wagon in the photo, we can use the concept of similar triangles. Similar triangles have proportional sides, meaning that the ratio of corresponding sides is the same.

Given: - Distance from the camera to the wagon (d1) = 10.0 m - Height of the wagon (h1) = 3.0 m

Let's assume the height of the wagon in the photo (h2) is unknown.

Using the concept of similar triangles, we can set up the following proportion:

h1 / d1 = h2 / f

Where: - h1 is the actual height of the wagon - d1 is the distance from the camera to the wagon - h2 is the height of the wagon in the photo - f is the focal length of the camera lens

We know that the optical power of the lens is 12.5 diopters. The focal length (f) can be calculated using the formula:

f = 1 / P

Where P is the optical power of the lens in diopters.

Let's calculate the focal length (f) first:

f = 1 / 12.5

f = 0.08 m

Now, we can substitute the values into the proportion:

3.0 / 10.0 = h2 / 0.08

Simplifying the equation:

0.3 = h2 / 0.08

To find the height of the wagon in the photo (h2), we can rearrange the equation:

h2 = 0.3 * 0.08

h2 = 0.024 m

Therefore, the height of the wagon in the photo is approximately 0.024 meters.

Please note that the calculations provided are based on the given information and assumptions.