Q1 / 104 · NTA Abhyas (JEE Main) 2020 · Physics · Atomic Physics

In a hydrogen-like species, the net force acting on a revolving electron in an orbit as given by the Bohr model is proportional to [n→principal quantum number,  Z→ atomic number]

  • Correct answer
    A
    Z 3 n 4
  • B
    n 3 Z 2
  • C
    Z 2 n 3
  • D
    n 4 Z 3

Solution

The net force on a revolving electron is

F= m v 2 r

F∝vn2rn
The velocity of the electron in the nth shell

vn∝Zn
and the radius of the nth shell

rn∝n2Z

⇒F∝Z3n4

Hence, the correct answer is option: 'A'.

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