If hydrogen atom, an electron jumps from bigger orbit to smaller orbit so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was v , then speed in smaller orbit is

Step-by-step solution

Radius of the orbit, r _ n n ² aligned & r _ nbig r _ n small = n _ big ² n _ small ² = 4 1 & n _ big n _ small =2 & n _ small n _ big = 1 2 aligned Velocity of electron in n ^ th orbit array c v _ n 1 n v _ n big v _ n small = n _ small n _ big = 1 2 v _ n small =2 ( v _ n big )=2 v array