Question

an object of height 4 cm is placed at a distance of 20 cm from a convex lens of focal lenght 10 cm. use lens formula to find the position of the image.


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Answer 1

Hello :)

Solution :

Given,

The lens is a convex lens.

Height of object = H(o) = (+)4 cm

Distance of the object from the lens = u = (-)20 cm

Focal lenght of the lens = f = (+)10 cm

We have to find, position of the image so formed.

But, distance of the image from the lens = v = ?

From the lens formula,

1/v - 1/u = 1/f

1/v - 1/(-20) = 1/10

1/v + 1/20 = 1/10

1/v = 1/10 - 1/20

1/v = (2 - 1)/20

1/v = 1/20

v = (+)20

______________

Positive sign shows that the image is formed at the right side of the lens.

Since, distance of the object and the image formed is equal

•°• the image is formed at the centre of curvature i.e., 2f2

______________

Hope it helps :)