Question

Когда предмет расположен на расстоянии 10 см от центра линзы то линейное увеличение равно 2. определить линейное увеличение линзы когда предмет расположен на расстоянии 30 см

Answer 1

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Answer 2

Calculation of Linear Magnification

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

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

Given that the object is located at a distance of 10 cm from the center of the lens and the linear magnification is 2, we can substitute these values into the formula to find the image distance:

2 = - (image distance / 10 cm)

Solving for the image distance:

image distance = -2 * 10 cm = -20 cm.

Since the image distance is negative, it indicates that the image formed by the lens is virtual and upright.

Calculation of Linear Magnification for a Different Object Distance

Now, let's calculate the linear magnification of the lens when the object is located at a distance of 30 cm from the lens.

Using the same formula:

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

Substituting the values:

m = - (image distance / 30 cm)

To find the image distance, we can rearrange the formula:

image distance = -m * object distance

Substituting the given values:

image distance = -2 * 30 cm = -60 cm.

Again, the negative sign indicates that the image formed is virtual and upright.

Therefore, when the object is located at a distance of 30 cm from the lens, the linear magnification of the lens is 2, and the image distance is -60 cm.