NEST2026ChemistryStructure of Atom
If velocity of an electron in the first Bohr orbit is denoted by v₀ , then the velocity ( v ) of the electron in other orbits (as a function of principle quantum number ' n ') is represented as
Correct answer
1
Step-by-step solution
According to Bohr's atomic model, the velocity of an electron in the n -th orbit is given by: v_n = 2 k Z e^2 nh For a given atom, the velocity is inversely proportional to the principal quantum number n : v_n 1 n Given that the velocity in the first orbit ( n=1 ) is v₀ , the velocity in the n -th orbit is: v_n = v₀ n Substituting n=3 , we get: v₃ = v₀ 3 The graph of v versus n is a rectangular hyperbola. The second graph correctly depicts this relation, showing v = v₀ at n=1 and v = v₀ 3 at n=3 . Answer: