Question

a lens produces two times magnified real and inverted image if the focal length of the lens is 10 Cm. find the nature position and size of the image
please answer it fast and with proper steps

Answer 1

Consider variables u = object distance, v= image distance



Consider variables u = object distance (in cm), v= image distance (in cm)

Given,

-u + v = 100 ......eq (1)

Magnification = v /u = -3 (real and inverted image)

                  v = -3u ........eq (2)

Focal length 1/f = 1/v - 1/u  ......eq (3)

Substitute eq (2) in eq (1), we get u = -25 cm

eq (2) v = -3 u = - 3 *- 25 = 75 cm

Substitute eq (2) in eq (3), we get  f = - 3 u/4  = -3 * -25/4 = 18.75 cm.

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