Q. 6 A3.7( 3 Votes )

An object of height 3 cm is placed in front of a convex lens of focal length 10 cm at a distance of 15 cm.

What is the distance of the image formed?

Answer :

Given-

Lens using: convex


The height of object: 3cm


The focal length of lens: 10cm


The object is placed at 15 cm from the optical center


The formula of the lens:



So, let suppose image is formed at a distance of v cm from the optical center


Ray diagram will look something like this:


WhenTheObjectIsPlacedBetweenTheFocusFAndTheCentreOfCurvature2f.png


Here (from sign convention direction of incident light is left to right)


AB = object = +3cm (upward direction from x-axis)


CF = focal length = 10 cm (direction is C to F (right side) i.e. left to right same as direction of incident light)


CB = u = - 15 cm (direction is C to B i.e. right to left opposite to incident light direction)


So, let the distance of image will be v cm,



So




Here we see that v is positive so image will be formed in right side of lens (C’B’)


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