a) the smallest energy = b
   The highest frequency =
a
   The shortest wavelength =
a
note: by increasing no of energy levels,the energy of
each level increases and the energy gap between the levels
decreases.so that, smallest energy is n=7 to n=1.
weknowthat,
          Â
E = hv
         Â
v = frequency , (frequency is directly proportional to
energy)
         E
= hc/l
     l = wavelength.
(wavelength is inversely proportional to energy)
b)
wavenumber = 1/wavelength = 109677(1/n1^2-1/n2^2)
cm-1
    n1 = 1 , n2 = 6
  1/wavelength =
109677(1/1^2-1/6^2)
           Â
1/l  = 1.07*10^5 cm-1
c = vl
v =frequency = c/l
c = 3*10^10 cm/s
1/l = 1.07*10^5 cm-1
v = (3*10^10)*(1.07*10^5)
  = 3.21*10^15 s-1