Question

52. The image of an object placed in front of a lens is formed at a distance three times to that of the object, the magnification of the innage is (c)3 (d) 4​

Answer 1

Explanation:

d)4

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Answer 2

Given: The image of an object placed in front of a lens is formed at a distance three times to that of the object.

To find: The magnification of the image.

Solution:

• The linear magnification produced by a spherical lens is the ratio of the size of the image formed by the lens to the size of the object, both measured perpendicular to the principal axis.  
• It is given by the formula,

        $m = \frac{v}{u}$

• Here, m is the magnification produced, v is the distance of the image and u is the distance of the object from the lens.

• According to the question,

        $v = 3 u$

• Hence,

        $m = \frac{3u}{u}$

             $= 3$

• The distances above the principal axis are taken as positive and below as negative. The linear magnification is positive and hence, the image formed is erect.

Therefore, the magnification of the image is 3.