AP EAMCET · PHYSICS · Atomic Physics
In a system, a particle \(A\) of mass \(m\) and charge \(-2 q\) is moving in the nearest orbit around a very heavy particle \(B\) having charge \(+q\). Assuming Bohr's model of the atom to be applicable to this system, the orbital angular velocity of the particle \(A\) is
- A \(\frac{2 \pi m^2 q^2}{\varepsilon_0 h^4}\)
- B \(\frac{3 \pi m^3 q^2}{\varepsilon_0^3 h^2}\)
- C \(\frac{2 \pi m q^4}{\varepsilon_0^2 h^3}\)
- D \(\frac{5 \pi m^2 q^3}{\varepsilon_0^3 h^2}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \pi m q^4}{\varepsilon_0^2 h^3}\)
Step-by-step Solution
Detailed explanation
In a system, a particle \(A\) moving around a particle \(B\) in a circular path then applied the centripetal force directed and center of the circular path. So, the electric force, \(F_e=\) centripetal force, \(F_c\) \(\frac{k q_1 q_2}{r^2}=m r \omega^2\) ...(i) Given,…
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