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Suppose an electron is attracted towards the origin by a force k / r where ' k ' is a constant and ' r ' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the n^ th orbital of the electron is found to be ' r_n ' and the kinetic energy of the electron to be T_n . Then which of the following is true?

Options

  1. AT_n 1 / n^2, r_n n^2
  2. BT_n independent of n, r_n n
  3. CT_n 1 / n, r_n n
  4. DT_n 1 / n, r_n n^2

Correct answer

B. T_n independent of n, r_n n

Step-by-step solution

aligned & k r = m v^2 r & mv = k (independent or r ) & n ( h 2 )=m v r r n and T = 1 2 m v^2 is independent of n . aligned

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