The image produced by an object is –10. 0 cm from a concave mirror that has a focal length of 5. 0 cm. The distance of the object from the mirror, rounded to the nearest whole centimeter, is cm.

Respuesta :

The distance of the object from the mirror is 3cm.

To calculate the distance of the object from the mirror, we make use of the mirror formula

Mirror formula

  • 1/f = (1/u)+(1/v)............ Equation 1

Where:

  • f = Focal length of the mirror
  • v = image distance
  • u = object distance.

Using the real is positive convention,

Given:

  • f = 5 cm
  • v = -10 cm

Substitute these values into equation 1 and solve for u

  • 1/5 = (-1/10)+(1/u)
  • 1/5+(1/10) = 1/u
  • 1/u = (2+1)/10
  • 1/u = 3/10
  • u = 10/3
  • u = 3.33
  • u = 3 cm

Hence, The distance of the object from the mirror is 3cm.

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