Question

what is the ratio of time periods (T1/T2) in 2nd orbit if hydrogen atom to the 3rd orbit of He+ ion ?​

Answer 1

Answer:

32/27

Explanation:

Time period T is proportional to n³/z²

So, putting the values of n and z in T1 and T2,

T1= 2³/1² (For 2nd orbit of H)

T2= 3³/2² (For 3rd orbit of He+)

This T1/T2 =(8/1)*(4/27)

=32/27

Answer 2

Given :

Time period of hydrogen atom in 2nd orbit = T1

and , time period of H$e^+$ ion in 3rd orbit = T2

To find :

Ratio of the time period of the hydrogen atom and that of H$e^+$ ion .

Solution :

Time period of electron , T of any element in $n^t^h$ orbit ∝ n³/z²

Time period of hydrogen atom in 2nd orbit , T1 ∝ 8

Time period of H$e^+$ ion in 3rd orbit , T2 ∝ ( 27 / 4 )

Ratio = ( T1 / T2 ) = ( 8 * 4 ) / 27

        = 32 / 27

Ratio of time period of hydrogen atom in 2nd orbit and that of H$e^+$ ion in 3rd orbit = 32 / 27