Imagine an electron moving in the potential field of a proton given by V = V 0  ln r r 0 where r 0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation

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Imagine an electron moving in the potential field of a proton given by V = V 0 &#160;ln r r 0 where r 0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation of r n with n (principal quantum number) is

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Correct answer: A. r n ∝ n

U = eV = eV 0 ln r r 0 F = - dU dr = eV 0 r This force provide the necessary centripetal force. Hence mv 2 r = eV 0 r or v = eV 0 m ...(1) Moreover, mvr = nh 2 π ...(2) Dividing Eq. (2) by Eq. (1), we have mr = nh 2 π m eV 0 or r n ∝ n

Imagine an electron moving in the potential field of a proton given by V = V 0  ln r r 0 where r 0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation of r n with n (principal quantum number) is

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Imagine an electron moving in the potential field of a proton given by V = V 0 &#160;ln r r 0 where r 0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr&#39;s model to be applicable, the variation of r n with n (principal quantum number) is

Options

Correct answer

Step-by-step solution

More from Atomic Physics

Imagine an electron moving in the potential field of a proton given by V = V 0 ln r r 0 where r 0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation of r n with n (principal quantum number) is