As given it takes 348 kJ of energy to break one mole of C-C bond
So energy required to break one C-C bond will be = 348 X 1000 / 6.023 X 10^23
Energy required = 5.78 X 10^-19 Joules
The relation between energy and wavelength is
E = hc / λ
where λ = wavelength
h = planck's constant
c= speed of light
5.78 X 10^-19 Joules = 6.62 X 10^-34 X 3 X 10^8 / λ
λ = 3.44 X 10^-7 m = the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon