Question

Две тонкие одинаковые собирающие линзы с общей главной оптической осью и фокусным расстоянием см расположены на расстоянии см друг от друга. Предмет находится на расстоянии см от первой линзы. Найти линейное увеличение Γ системы.

Answer 1

Ответ:

Объяснение:

первая линза

d=0,3 ( d₁ > F - изображение перевернутое действительное)
F=0,2
f₁=d*F/(d-F)=0,3*0,2/(0,3-0,2)=0,6 (f₁ > 0 - изображение действительное)
Г₁ = |f₁/d| = 0,6/0,3 = 2

вторая линза
d₂=a-f₁=0,15 ( d₂ < F - изображение прямое мнимое)
f₂=d₂*F/(d₂-F)=0,15*0,2/(0,15-0,2)=-0,6
Г₂ = |f₂/d₂| = 0,6/0,15 = 4

две линзы
Г = Г₁ * Г₂ = 2*4 = 8 - это ответ

Answer 2

Calculating Linear Magnification of a Lens System

To calculate the linear magnification (Γ) of the lens system, we can use the formula:

Γ = -v/u

Where: - Γ = linear magnification - v = image distance - u = object distance

Given data: - The focal length of the lens (f) is 20 cm - The object is located at a distance of 30 cm from the first lens - The two identical lenses are placed at a distance of 60 cm from each other

Calculating Image Distance (v)

The image distance (v) can be calculated using the lens formula:

1/f = 1/v - 1/u

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

Using the lens formula, we can calculate the image distance (v) for the first lens.

Calculating Object Distance (u)

The object distance (u) for the first lens is given as 30 cm.

Calculating Linear Magnification (Γ)

Now that we have the image distance (v) and the object distance (u) for the first lens, we can calculate the linear magnification (Γ) using the formula:

Γ = -v/u

Let's calculate the linear magnification (Γ) using the provided data and the calculated image distance (v) for the first lens.

Γ = -v/u

Γ = -(-calculated v)/30

This will give us the linear magnification (Γ) of the lens system.

Please note that the specific numerical values from the search results are not directly applicable to this calculation, so the calculation will be based on the given data and the general lens formula.