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Question:
Find the position and size of the virtual image formed when a 2 cm tall object placed 20 cm from a diverging lens of focal length 40 cm.
Answer:

Using lens formula, 1/f =1/v-1/u

Given, f= 40 cm

u=20 cm

height of object h1= 2 cm

So, 1/40=1/v-1/20

v=40/3 cm (position of image)

Now, using magnification formula we will find the height or size of the image.

magnification m= size of image/size of object = h2/h1 =v/u

So, h2= 80/60= 4/3 cm (size of image)

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