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An object is placed 14.0 cm from a diverging lens. If a virtual image appears 10.0 cm from the lens on the
same side as the object, what is the focal length of the lens?


Sagot :

  • Object distance=u=14cm
  • Image distance=v=-10cm

Use lens formula

  • 1/f=1/v-1/u
  • 1/f=1/-10-1/14
  • 1/f=-7-5/70
  • 1/f=-12/70
  • f=70/-12
  • f=-5.8cm

The focal length of the lens is 5.8 cm.

To find the focal length, the given values are:

Image distance - 10 cm

Object distance - 14 cm

What is focal length and how it was calculated?

      The distance between the convex lens or a concave mirror and the focal point of a lens or mirror is called the focal length. This is the parallel line which meet at the distance from the lens or mirror.

                1/Focal length = 1/Image distance + 1/Object distance ( cm )

                                    1/f = 1/v-1/u

                                    1/f = 1/-10-1/14

                                    1/f = -7-5/70

                                    1/f = -12/70

                                      f = 70/-12

                                      f = -5.8cm

The focal length of the lens is - 5.8 cm.

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