# Will the tension be the same throughout a massless rope?

If a mass is suspended from the ceiling by a massless rope, will tension be the same at all points on the rope?

Let's assume that tension increases down the rope then for this section of rope to be in equilibrium $$T-(T+\Delta T)=\Delta mg$$
As rope is massless, $$\Delta m=0$$
So, $$\Delta T=0$$
Yes, otherwise rope will be break , also $$F_{net}$$ on the rope wont be 0.