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When light passes through a lens, it is refracted at both faces of the lens - Leaving Cert Physics - Question 12 - 2015

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When light passes through a lens, it is refracted at both faces of the lens. Copy the diagram on the right into your answer book and complete the path of the light ... show full transcript

Worked Solution & Example Answer:When light passes through a lens, it is refracted at both faces of the lens - Leaving Cert Physics - Question 12 - 2015

Step 1

Copy the diagram and complete the path of the light ray.

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Answer

  1. Start by copying the provided diagram accurately.
  2. Draw a line representing the incoming light ray approaching the lens.
  3. Draw the normal line at the point where the ray strikes the first surface of the lens.
  4. Mark the first refraction angle at the first surface of the lens.
  5. Complete the path of the light ray exiting the lens with the corresponding normal at the second surface.
  6. Represent the second refraction angle as the ray exits the lens.

Step 2

Draw a ray diagram to show the formation of a virtual image in a converging lens.

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Answer

  1. Identify the object's position inside the focal point of the converging lens.
  2. Draw a ray from the object parallel to the principal axis which refracts through the focal point after passing through the lens.
  3. Draw a second ray from the object towards the center of the lens, which passes straight through.
  4. Extend the refracted rays backward to locate the virtual image, indicating that it appears on the same side as the object.

Step 3

Calculate the power of the combination.

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Answer

  1. Calculate the individual powers of the lenses:
    • The power of the converging lens (P1P_1):
      P_1 = rac{1}{f_1} = rac{1}{0.20} = +5 ext{ D}
    • The power of the diverging lens (P2P_2): P_2 = rac{1}{f_2} = rac{1}{-0.08} = -12.5 ext{ D}
  2. Use the formula for combined power:
    P=P1+P2=512.5=7.5extDP = P_1 + P_2 = 5 - 12.5 = -7.5 ext{ D}

Step 4

What eye defect can be corrected using converging lenses?

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Answer

Converging lenses can correct long-sightedness, also known as hyperopia. This condition occurs when the eye focuses images behind the retina, leading to difficulty in seeing nearby objects.

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