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Q.

With respect to comparing small and large cells, which statement is correct?
(a) Small cells have a small surface area per volume ratio.
(b) The exchange rate of nutrients is fast with small cells.
(c) Small cells have a large surface area per volume ratio.

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a

c only

b

a only

c

b only

d

b and c only

answer is D.

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Detailed Solution

(a) This statement is incorrect. Small cells typically have a large surface area per volume ratio. As the cell size decreases, the surface area-to-volume ratio increases. This is because surface area increases with the square of the radius, while volume increases with the cube of the radius. Therefore, smaller cells have a relatively larger surface area compared to their volume.
(b) This statement is correct. Small cells may indeed have a faster exchange rate of nutrients due to their large surface area-to-volume ratio.
(c) This statement is correct. Small cells have a large surface area per volume ratio. This allows for efficient exchange of materials such as nutrients, gases, and waste products across the cell membrane. The large surface area facilitates the absorption and secretion of substances, contributing to the metabolic activities of the cell.

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