An object is placed at a distance of 10 cm from a convex lens of focal length 12 cm, find out at what distance image will be formed from the lens and what is the nature of image. - Science and Technology 1

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Numerical

An object is placed at a distance of 10 cm from a convex lens of focal length 12 cm, find out at what distance image will be formed from the lens and what is the nature of image.

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Solution

Given: Focal length (f) = 12 cm,

Object distance (u) = −10 cm

To find: i. Image distance (v)

ii. Nature of image

Formula: 1/"f" = 1/"v" - 1/"u"

Calculation: From formula,

1/12 = 1/"v" - 1/(- 10)

∴ 1/"v" = 1/12 - 1/10

= (10 - 12)/120

= (- 2)/120

= - 1/60

∴ v = - 60 cm

A negative sign indicates an image is formed on the same side as that of the object.

The image is erect, virtual and magnified.

Concept: Combination of Lenses
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