Question

when copper sulphate solution is electrolysed blue colour inside discharge at the cathode and get deposited as copper at the cathode e at the blue colour of the solution does not fade explain

Answer 1

The reason behind no colour change in the solution is that the impure copper at the anode gets dissolved in the solution and the process continues.
Due to this copper ions are restored in the solution and hence the colour of the solution doesn't fades
Hope it helps