Question

Якщо відстань від предмета до лінзи 36см, то висота зображення 10см. Якщо ж відстань від предмета до лінзи 24см, то висота зображення 20см. Визначте фокусну відстань лінзи.

Answer 1

Всё на листке, наслаждайтесь :)))

Answer 2

Calculation of the focal length of the lens

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

1/f = 1/v - 1/u

where: - f is the focal length of the lens, - v is the image distance, - u is the object distance.

Given the following information: - When the object distance (u) is 36 cm, the image height (v) is 10 cm. - When the object distance (u) is 24 cm, the image height (v) is 20 cm.

Let's calculate the focal length of the lens using these values.

For the first case: - u = 36 cm - v = 10 cm

Substituting these values into the lens formula, we get:

1/f = 1/10 - 1/36

Simplifying the equation, we find:

1/f = (36 - 10) / (10 * 36)

1/f = 26 / 360

1/f = 13 / 180

Now, let's calculate the focal length for the second case: - u = 24 cm - v = 20 cm

Using the lens formula, we have:

1/f = 1/20 - 1/24

Simplifying the equation, we find:

1/f = (24 - 20) / (20 * 24)

1/f = 4 / 480

1/f = 1 / 120

Calculation of the focal length

To find the focal length, we need to find the reciprocal of the value obtained from the lens formula.

For the first case: f = 180 / 13 cm

For the second case: f = 120 cm

Therefore, the focal length of the lens is approximately 13.85 cm for the first case and 120 cm for the second case.

Please note that these calculations are based on the given information and assumptions about the lens being used.