Hi again Tom,
Let me add something to help clear up my initial answer and why I think the answer "e" is correct in the first question.
AWS A3.0 Standard Terms and Definitions
Heat input = The energy applied to the work piece
during welding.
Preheat = The act of applying heat to the work piece(s)
prior to joining.....<snip>
[the bold emphasis is mine]
AWS D1.1:2010 Table 4.6(9)a shows the formula to figure heat input in joules per in.
Now that we've got the terms and definitions out of the way for preheat and heat input.
AWS D1.1:2010 Clause 3.5 The preheat and interpass temperature shall be sufficient to prevent cracking.<snip>
AWS D1.1:2010 Commentary C-3.5 The principle of applying heat until a certain temperature is reached and then maintaining that temperature as a minimum is used to control the cooling rate of weld metal and adjacent base metal<snip>...........The higher preheat temperatures result in slower cooling rates. When cooling is sufficiently slow, it will effectively reduce hardening and cracking.<snip>.....The amount of preheat required to slow down the cooling rate so as to produce crack-free, ductile joints will depend on:
1) ambient temperature
2)Heat from the arc...[heat input]
3)heat dissipated from the joint
4)chemistry of the steel(weldability)
5)hydrogen content of deposited weld metal
6)degree of restraint in the joint
Anyway....if you read all of the answers for the first question, none of them are exactly right as they are written....so to take each answer at face value I ended up with answer "e" because they don't fit exactly.
Second question has an answer that is correct as written, so I chose "b", in that case.
AWS test questions are written this way numerous times throughout the exam and it's easy to be tripped up by this. While heat input can in some cases be sufficient enough to prevent cracking as in single pass fillet welds on thin materials, it isn't always the case. The thicker the materials being welded the more heat is required to keep the base metal from quenching the freshly deposited weld metal and cooling it off too quickly to prevent cracking.