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Question
CBSEENSC10012814

A convex lens has a focal length of 25 cm. Calculate the distance of the object from the lens if the image is to be formed on the side of the lens at a distance of 75 cm from the lens. What would be the nature of the image?

Solution

Given a convex lens. 

Here,
Focal length, f = +25 cm.
Image distance, v = + 75 cm

By lens formula,
  
                     1v-1u = 1f

                  1u = 1v-1f      =175-125       = 1-375       = -275 

i.e.,                  u = -752    = -37.5 cm.  

The object is at 37.5 cm from the lens and the image is real and inverted.