Q$3.(6$ p$.)$ You are given a $0\mathrm{.}4\%$C plain carbon steel bar in annealed condition. Three bars are cut from this bar and subjected to different heat treatment processes:

Bar. $1$ : It is heated to $700C$ for $1hr$ and then quenched in water.

Bar$\mathrm{.}2$: It is heated to $735C$ for $1hr$ and then quenched in water.

Bar$\mathrm{.}3$: It is heated to $880C$ for $1hr$ and then quenched in water.

The diameter of the original bar is $5mm,$ which is enough to obtain $100\%$ martensite upon water quenching.

Put the bars No$\mathrm{.}1,2$ and $3$ in the order of increasing wear resistance. State your reason in three sentences.