The image formed by a curved lens can be bigger, smaller or of the same size as of the object . In case of plane mirror it is of the same size as that of the object i.e. magnification is unity.
If a thin object of linear size situated vertically on the axis of the lens at a distance u from the optical center and its image of size is formed at a distance v then magnification is defined as the ratio of size of image and the size of the object.
Magnification can also be related to the distance of the object and the image with respect to the optical centre of the lens. Let v denote the distance of the image from the optical centre of the lens and u denote the distance of the object from the optical centre of the lens , then
On combining both the formulas, we get
Note that m can be either positive or negative, depending on the nature of the image. If m is positive, and have the same sign. This means that the image is formed on the same side of the principal axis as the object. In other words, the image is erect. If m is negative, the image is inverted.
Magnitude of magnification of a mirror gives information about the size of the image relative to the object.
Magnification | Size of Image |
m = 1 | |
m < 1 | |
m > 1 |
Where, = height of object
= height of image.
Sign of magnification by mirror or lens gives information about nature of the image produced.
Which of the following are correct ? (a) The image formed by a curved lens can be bigger, smaller or of the same size as of the object . (b) Magnification is defined as the ratio of size of image and the size of the object. | |||
Right Option : C | |||
View Explanation |
Which of the following are correct ? (a) In case of plane mirror the image is of the same size as that of the object i.e. magnification is unity. (b) Magnification can also be related to the distance of the image and the object with respect to the optical centre of the lens. | |||
Right Option : C | |||
View Explanation |
Linear magnifications is positive when image formed is _____________________ . | |||
Right Option : B | |||
View Explanation |
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