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Question 4
4 (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 p... show full transcript
Step 1
Answer
To determine which lens is a converging lens with the greatest power, we can assess the shape of each lens. A converging lens has two outwardly curved surfaces, which allow it to focus light to a point.
From the options given (A, B, C, D), the lens with the most pronounced curvature will have the greatest power. This is because the power of a lens is related to its curvature; a lens that is more curved will have a shorter focal length, resulting in higher power.
Without the actual images, one would typically choose option B or D (if one of them appears significantly more curved compared to the others), as these are usually designed to be converging and show greater convexity.
Step 2
Answer
To find the focal length ( extit{f}) of the lens given that its power ( extit{P}) is 5 dioptres, we use the formula:
Rearranging this, we find:
To convert this value into centimeters, we multiply by 100:
Thus, the focal length of the lens is:
focal length = 20 cm.
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