Question

An object is placed at a distance of 10 cm on the principal axis of a convex lens whose focal length is less than 10cm the image of it.observed at a distance of 30cm from the lens.find the nature and magnification of image

Answer 1

Answer:

nature of the image is enlarged, inverted

Explanation:

object is placed at between f and c. M- v/u= 30/10=3

Answer 2

The image formed is virtual, erect and magnified.

Magnification is $M=3$

Explanation:

Given:

position of object in front of a convex lens, $o=10\ cm$

position of image in front of the convex lens, $i=30\ cm$

According to question the focal length of the lens:

$f=i-10$

$f=30-10\\f=20\ cm$

Since the object is place between the optical center of the lens and the focus this will lead to the formation of the image on the same side as that of the object and the nature of the image is virtual, erect and magnified.

Magnification is given as:

$M=\frac{i}{o}$

$M=\frac{30}{10}$

$M=3$

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TOPIC: convex lens

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