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Quantum confinement results in ___________

(a) Energy gap in semiconductor is proportional to the inverse of the square root of the size

(b) Energy gap in semiconductor is proportional to the inverse of the size

(c) Energy gap in semiconductor is proportional to the square of size

(d) Energy gap in semiconductor is proportional to the inverse of the square of size

The question was asked in a national level competition.

Query is from Nanotechnology in chapter Materials and their Properties of Engineering Chemistry I

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The correct option is (d) Energy gap in semiconductor is proportional to the inverse of the square of size

For explanation I would say: The energy gap in a semiconductor is proportional to the inverse of the square of the size. This effect is a result of quantum confinement.

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