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10 (a) (i) Which lens is a converging lens with the greatest power? A B C D (ii) The equation that relates the power of a lens to the focal length of the lens is power (in dioptres) = 1 / focal length (in metres) The power of a lens is 5 dioptres - Edexcel - GCSE Physics - Question 10 - 2019 - Paper 1

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10-(a)-(i)-Which-lens-is-a-converging-lens-with-the-greatest-power?----A---B---C---D--(ii)-The-equation-that-relates-the-power-of-a-lens-to-the-focal-length-of-the-lens-is--power-(in-dioptres)-=-1-/-focal-length-(in-metres)--The-power-of-a-lens-is-5-dioptres-Edexcel-GCSE Physics-Question 10-2019-Paper 1.png

10 (a) (i) Which lens is a converging lens with the greatest power? A B C D (ii) The equation that relates the power of a lens to the focal length of the l... show full transcript

Worked Solution & Example Answer:10 (a) (i) Which lens is a converging lens with the greatest power? A B C D (ii) The equation that relates the power of a lens to the focal length of the lens is power (in dioptres) = 1 / focal length (in metres) The power of a lens is 5 dioptres - Edexcel - GCSE Physics - Question 10 - 2019 - Paper 1

Step 1

Which lens is a converging lens with the greatest power?

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Answer

To determine which lens is a converging lens with the greatest power, we need to look at the curvature of each lens illustrated in options A, B, C, and D. A converging lens is typically thicker in the middle and thinner at the edges. The lens that is most convex (bulging outwards) will have the greatest power. After analyzing the shapes:

  • Lens A has a moderate curvature.
  • Lens B appears to be more convex than A.
  • Lens C is less convex and has a flatter design.
  • Lens D, though there, does not display a strong converging profile.

Therefore, lens B is the correct answer as it is the most converging.

Step 2

Use the equation to calculate the focal length of the lens in cm.

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Answer

To find the focal length of the lens, we use the formula provided:

P = rac{1}{f}

Where:

  • P is the power in dioptres,
  • f is the focal length in meters.

Given that the power P is 5 dioptres:

f = rac{1}{P} = rac{1}{5} = 0.2 ext{ meters}

To convert this into centimeters, we multiply by 100:

f=0.2imes100=20extcmf = 0.2 imes 100 = 20 ext{ cm}

Thus, the focal length of the lens is 20 cm.

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