Question

In: Physics

A converging lens whose focal length f = 20 cm projects a 3.0 times magnified image...

A converging lens whose focal length f = 20 cm projects a 3.0 times magnified image of an object on a screen. What is the distance q from the screen to the lens and the distance p from the object to the lens?

Solutions

Expert Solution

Solution:

Given, the focal length of the lens

The magnification is 3.

Since the lens is convex, magnification .

The object distance and image distance are and .(v=q, u=p)

The magnification for the lens is given by,

i.e,

   ...............................(1)

From the lens formula,(v=q, u=p)

.....................(2)

Substituting for   from (1), we have eq.(2) as

  

So,

The value of is


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