The potential of an atom is given by V=V₀ _e (r / r₀ ) where r₀ is a constant and r is the radius of the orbit. Assuming Bohr's model to be applicable, which variation of r_n with n is possible ( n being principal quantum number)?

Step-by-step solution

Given that, V=V₀ _e (r / r₀ ) Field E=- d V d r =-V₀ ( r r₀ ) aligned & e E= m V^2 r or e V₀ I₀ r = m V^2 r & V= ( e V₀ I₀ m )^ 1 / 2 aligned m V= (m_e V₀ r₀ )^ 1 / 2 = constant m v r= n h 2 , Bohr's quantum condition or r n