In a hydrogen atom in its ground state, the first Bohr orbit has radius r₁ . The electron's orbital speed becomes one-third when the atom is raised to one of its excited states. The radius of the orbit in that excited state is

Step-by-step solution

Velocity of electron aligned & V _ n 1 n & ~V _ n ~V _ n ^ = n ₂ n ₁ & ~V ₁ ~V ₁ = n ₂ 1 & n ₂=3 & Radius~of~el~ ^3 & r _ n n ^2 & r _ n r _ n ^ = ( n ₁ n ₂ )^2 & r₁ r₂ = ( 1 3 )^2 & r₂=9 r₁ aligned Radius of electron