[Physics] Finding the Steady State Charges

capacitancechargeelectric-circuits

Here the problem states to find the steady state charges on the condensers.<<<<

According to me the charges on second at steady must be zero else there would be some current in the resistance in it's parallel(which can't be true because then $C$ too will have current in it and it will not be steady state) . Is this argument correct or there would be something else in this case?

How does the charge initially that started accumulating on the $2C$ capacitor goes away at steady state?

Initially the capacitor does not pose resistance so, maximum charges pass through the capacitor instead of the resistance.But finally the charge on it is zero,please explain what happens in mean time.

Your argument is correct that there if there is no current in the resistor which is in parallel with the $2C$ condenser, then the charge on the $2C$ condenser must be $0$. This, as you probably already know, is because the two elements are in parallel and so they must have the same potential across them. However, you should give a clear argument as to why the current through the resistor is zero in the first place.

Having done this you ought to be able to find the potential drop across the series resistor. After this you should be able to find the potential drop, and charge on, the remaining condenser. I will let you fill in the details yourself.