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A donor atom in a semiconductor has a loosely bound electron. The orbit of this electron is considerably affected by the semiconductor material but behaves in many ways like an electron orbiting a hydrogen nucleus. Given that the electron has an effective mass of 0.07 me , (where me is mass of the free electron) and the space in which it moves has a permittivity 13 ε0 , then the radius of the electron’s lowermost energy orbit will be close to (The Bohr radius of the hydrogen atom is 0.53 Å) 

(A) 0.53 Å 

(B) 243 Å 

(C) 10 Å 

(D) 100 Å

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The correct option is (D).

Explanation:

The bohr radius is given by

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