Question

Изображение предмета находится на расстоянии 20 см от рассеивающей линзы с фокусным расстоянием 50 см. Чему равно расстояние от предмета до линзы?(Распишите подробно, пожалуйста, чтобы всё было понятно).

Answer 1

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Answer 2

Calculating Distance from Object to Lens

To calculate the distance from the object to the lens, we can use the lens formula, which is:

1/f = 1/v - 1/u

Where: - f = focal length of the lens - v = image distance from the lens - u = object distance from the lens

Given: - Focal length of the lens (f) = 50 cm - Image distance from the lens (v) = 20 cm

We can rearrange the lens formula to solve for u (object distance from the lens):

1/u = 1/f + 1/v

Let's calculate the object distance from the lens using the given values.

Calculation

Using the given values: - Focal length of the lens (f) = 50 cm - Image distance from the lens (v) = 20 cm

We can substitute these values into the formula:

1/u = 1/50 + 1/20

Now, let's calculate the sum of the fractions:

1/u = 0.02 + 0.05

1/u = 0.07

To find u, we take the reciprocal of 0.07:

u = 1 / 0.07

Result

After calculating, we find that the object distance from the lens (u) is approximately 14.29 cm.

So, the distance from the object to the lens is approximately 14.29 cm.