Question

a convex lens of focal length 16 cm forms a virtual image of double size of the object the distance of the object from the lens is

Answer 1

please find your answer in the attachment.

Answer 2

Given that,

Focal length of the convex lens, f = +16 cm

The convex lens forms a virtual image of double size of the object, m = 2

To find,

Object distance of the object.

Solution,

Magnification of lens is given by :

$m=\dfrac{v}{u}$

v is image distance and u is object distance

$2=\dfrac{v}{u}\\\\v=2u\ ......(1)$

Using lens formula as :

$\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}$

$\dfrac{1}{2u}-\dfrac{1}{u}=\dfrac{1}{16}\\\\u=-8\ cm$

So, the object is placed at a distance of 8 cm.

Learn more,

Lens formula

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