Hey thanks so much for the help. I totally agree with your work but the HSC answer is A. So I'm still a bit confused. If the questions just wrong was it omitted from the hsc?
Heres how I think of it:
We know Vp/Vs = np/ns
We also know that C and D are obviously wrong.
So we're left with A and B.
Both options assume Vp is constant, so set Vp to 1 for ease of calculation.
Since we're trying to maximise Vs for maximum deflection (Remembering that V = IR so more V means more current for deflection), we flip both sides so it becomes:
Vs/1 = ns/np
So Vs = ns/np
Now from this we can either increase ns, or decrease np to increase Vs.
Since increasing ns is not an option, u can only decrease np to increase Vs
Therefore answer is A