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Question

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 0.07me (where me is mass of the free electron) and the space in which it moves has a permittivity 13ε0, then the radius of the electron's lowermost energy orbit will be close to (The Bohr radius of the hydrogen atom is 0.53Å)
  1. 10 Å
  2. 100 Å
     
  3. 0.53Å
  4. 243Å


Solution

The correct option is B 100 Å
 
MV2r=KQ2r2&MVr=nh2π
Using data given in question r = 100 Å

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