In the Bohr model of the hydrogen atom, let R, v and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is directly proportional to the quantum number n
A
RE
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B
Ev
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C
RE
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D
Rv
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Solution
The correct option is DRv Radius R∝n2Z2 Velocity v∝Zn Energy E∝−Z2n2 Since, for hydrogen atom, Z is 1. Therefore, it is clear from above expressionsRv is directly propotional to n.