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Question

An object of size 1cm is placed at a distance of 15cm in front of a convex lens of focal length 10cm . Find the nature, size, location of the image

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Solution

Given,

Focal length f = + 10 cm (convex lens)

Image distance u = - 15 cm

We know,

From Len's formula,

1v1u=1f

Putting all the values

1v+115=110

After solving

v = 30 cm

So image will be formed at 30 cm behind the lens

Now given

Size of object= 1 cm

Using the formula of magnification for lens

m=vu

Putting all the values

m=3015=2

Hence the magnification is 2

Size of the image will be greater than the size of the object and the image will be virtual.



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