Question

A convex lens of focal length 40 cm produces a real inverted image of same size as of object. The distance between object and it's image is.

Answer 1

Answer:

a

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Answer 2

Given,

Focal length of convex lens = 40cm.

To Find,

Distance between object and its image.

Solution,

We know that the image produced by the convex lens is real inverted image.

h₂ = h₁

m = $\frac{h_{2} }{h_{1} }$ ⇒ m = $\frac{- h_{1} }{h_1}$  ⇒ -1

m = $\frac{v}{u\\}$ ⇒ -1 = $\frac{v}{u\\}$

-v = u

From lens Formula,

$\frac{1}{F } = \frac{1}{v} - \frac{1}{u}$

$\frac{1}{40} = \frac{1}{u} - \frac{1}{u}$

$\frac{1}{40} =\frac{-1 -1 }{u}$

$\frac{1}{40} = \frac{-2}{u}$

u = -80

v = -u ⇒ = -(-80) ⇒ 80cm.

Now,

The distance of image from optical centre = 80cm.

The distance of object from optical centre = 80cm.

Distance between image and object = 80 + 80 ⇒ 160cm.

Hence, Distacne between image and object is 160cm.