Step 1: Recall the properties of magnetic field lines.
Magnetic field lines form closed loops, originate from the north pole and terminate at the south pole outside a magnet, and continue from the south pole to the north pole inside the magnet. The density of lines indicates field strength, and they never intersect.
Step 2: Evaluate each statement.
(1) Correct: Magnetic field lines are indeed closed curves.
(2) Wrong: Inside a magnet, field lines go from south to north. Outside, they go from north to south.
(3) Correct: Closer lines indicate a stronger magnetic field.
(4) Correct: Magnetic field lines never intersect.
Step 3: Identify the wrong statement.
Statement (2) is incorrect.
The graph between variation of resistance of a wire as a function of its diameter keeping other parameters like length and temperature constant is