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what is the size of an image of a 1.00 mm object, such as lettering inside a ring, held at 8.00 cm? take the lens-to-retina distance to be 2.00 cm.

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  • Power of the eye is 62.5 diopter
  • The size of the image is - 0.5 mm
  • The size of the image be if the object were held at the normal 25.0 cm is -0.16 mm

What is the power of the eye when viewing an object?

  • The power of the eye varies from 50.0 D (for distant entirely relaxed vision) to 54.0 D (for near fully accommodated vision), which is an increase of 8%, for an eye with this usual 2.00 cm lens-to-retina distance.
  • In other words, multiply 50.5 diopters by 1 over 2.00 times 10 to the minus 2 meters, then take the difference and multiply the result by 1 then multiply that result by the exponent to obtain 2.00 meters.
  • As a result, they can only see a maximum of 2 meters in front of them without glasses since they are severely nearsighted.
  • It is 2.00 cm from the lens to the retina.

Given details :

a)  For this exercise we use the equation for thin lenses

              1 / f = 1 / p + 1 / q

where f is the focal length, p the distance to the object and q the distance to the image

  • In this case q is the distance from the lens to the retina q = 2.00 cm
  • The distance p is the distance from the object to the lens p = 8.00 cm

              1 / f = 1 / 8.00 + 1/2

              1 / f = 0.625 cm⁻¹

power is the inverse of the focal length in meters

             P = 1 / f [m]

             P = 0.625

             P = 62.5 diopter

b)  the size of the image

            m = - p / q

            m = - 2 / 8.00

            m = -0.25 X

if we assume that the object is right

           m = h´ / h

           h´ = m h

           h´ = -0.25 x 2

           h´ = -0.5 mm

if the height of the object h is straight the image and inverted

c) if the object were at p = 25.0 cm

          m = - 2/25

          m = -0.08

            h´ = -0.08 x 2

            h´ = -0.16 mm

the image would be much smaller

Learn more about the power of the eye refer to :

https://brainly.com/question/17093180

#SPJ1

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