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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3pb067

Which of the following statements about the fullerene are correct?

  1. AIt has 12 pentagonal and 20 hexagonal faces.
  2. BIt contains 90 carbon-carbon sigma bonds.
  3. CAll 90 carbon-carbon bonds have exactly the same length.
  4. DIt is insoluble in all organic solvents, such as benzene.

Answer: A, B

Each carbon has three sigma neighbours, so the number of bonds is . The cage has 12 pentagons and 20 hexagons (, Euler's relation). The bonds are of two kinds (bonds shared by two hexagons are shorter than those between a hexagon and a pentagon), so they are not all equal. dissolves in benzene to give a purple solution. Statements 1 and 2 are correct.
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