Question

Расстояние от предмета до линзы и от линзы до его изображения одинаковы и равны 0,6 м. Каким будет увеличение линзы если предмет поместить на расстояние 40см от линзы?

Answer 1

1/а+1/b=1/Fa=b=2F=0,25мF=0,125 м1/с+1/d=1/Fc=a-0,1=0,15d=c*F/(c-F)=0,15*0,125/(0,15-0,125)= 0,75 b/a=1d/c=0,75/0,15=5d/c : b/a = 5 - изображение вырастет в 5 раз

Answer 2

Calculation of Lens Magnification

To calculate the magnification of a lens, we need to know the distance of the object from the lens (denoted as 'd') and the distance of the image from the lens (denoted as 'd'). In this case, both distances are given as 0.6 m.

To find the magnification, we can use the formula:

Magnification (m) = -d'/d

where 'd' is the distance of the object from the lens and 'd' is the distance of the image from the lens.

Given that the distances are both 0.6 m, we can substitute these values into the formula:

Magnification (m) = -0.6/0.6 = -1

Therefore, the magnification of the lens is -1.

Now, let's calculate the magnification when the object is placed at a distance of 40 cm (0.4 m) from the lens.

Calculation of Magnification with Object at 40 cm

To calculate the magnification when the object is placed at a distance of 40 cm (0.4 m) from the lens, we can use the same formula:

Magnification (m) = -d'/d

where 'd' is the distance of the object from the lens and 'd' is the distance of the image from the lens.

Given that the distance of the object from the lens is 0.4 m and the distance of the image from the lens is 0.6 m, we can substitute these values into the formula:

Magnification (m) = -0.6/0.4 = -1.5

Therefore, the magnification of the lens when the object is placed at a distance of 40 cm from the lens is -1.5.

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