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1)

The frequencies for series limit of Balmer and P aschen series respectively are 'v1' and 'v3' .If frequency of first line of Balmer series is 'v2' then the relation between 'v1'. 'v2' and 'v3' is 


A) v1v2=v3

B) v1+v3=v2

C) v1+v2=v3

D) v1v3=2v1

Answer:

Option A

Explanation:

 As we know, v= nλ

   1λ=nv1λ=R(1n211n22)

      v=Rc(1n211n22)

   

v2=Rc(122132)=Rc(1419) .....(i)

v1=Rc(122)=Rc4

 v3=Rc(132)=Rc9

         v1v3=Rc(1419)  ......(ii)

 From Eqs.(i) and (ii), we get

    v1 -v3  =v2

       v1v2=v3