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Question

Carbon60 Contains :

A
20 pentagons and 12 hexagons
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B
12 pentagons and 20 hexagons
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C
30 pentagons and 30 hexagons
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D
24 pentagons and 36 hexagons
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Solution

The correct option is B 12 pentagons and 20 hexagons
Using Euler's formula for any Cn cluster (n even and greater than 22). Such clusters have at least one close hollow cage consisting of 12 pentagons and (n20)2 hexagons. For C60, n=60. Then, (6020)2=20 ( number of hexagons).

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