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Physics: lights & optics. The convex lens and convex mirror (see figure below) h

ID: 3164066 • Letter: P

Question

Physics: lights & optics. The convex lens and convex mirror (see figure below) have focal lengths of + 75.0 cm and - 50 0 cm. respectively An object is placed 1 00 m to the left of the lens, Locate the image formed by the lens (assume the mirror to be absent), Locate the image formed by the convex mirror (assuming the light not going through the lens twice); the final image, formed by light that has gone through the lens twice State in each of the above cases whether the image is upright or inverted real or virtual and determine the overall magnification for each of the images above.

Explanation / Answer

For the lens:

1/f = 1/u + 1/v

1/75 = 1/100 + 1/v

=> v = 300 cm

image formed is inverted and real.

b] 1/f = 1/u - 1/v

-1/50 = 1/(-200) - 1/v

=> v = 66.67 cm [to the left of the mirror].

Image formed is virtual and upright.

c] u = 100 - 66.67 = 33.33 cm

1/75 = 1/33.33 + 1/v

=> v = - 60 cm [to the left of the mirror]

image formed is inverted and real.