Question

Предмет находится на расстоянии 16 см от двояковыпуклой линзы, фокусное расстояние которой 10 см. Найдите увеличение линзы

Answer 1

Объяснение:

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Answer 2

Calculation of Lens Magnification

To find the magnification of a lens, we can use the formula:

Magnification (m) = - (image distance / object distance)

In this case, the object is located at a distance of 16 cm from a biconvex lens with a focal length of 10 cm.

Let's calculate the magnification:

Object distance (u) = 16 cm

Focal length (f) = 10 cm

Using the formula, we can calculate the magnification:

Magnification (m) = - (image distance / object distance)

Since the object distance is positive and the image distance is negative for a convex lens, the magnification will also be negative.

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

Magnification (m) = - (image distance / 16 cm)

To find the image distance, 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

Substituting the values into the lens formula:

1/10 cm = 1/v - 1/16 cm

Simplifying the equation:

1/v = 1/10 cm - 1/16 cm

1/v = (16 - 10) / (10 * 16) cm

1/v = 6 / 160 cm

1/v = 3 / 80 cm

Taking the reciprocal of both sides:

v = 80 / 3 cm

Now, substituting the value of the image distance into the magnification formula:

Magnification (m) = - (80 / 3 cm / 16 cm)

Simplifying the equation:

Magnification (m) = - (5 / 3)

Therefore, the magnification of the lens is -5/3.

Please note that the negative sign indicates that the image formed by the lens is inverted.