The amount of heat produced in a wire on passing a current through it depends on:

1. the resistance of wire
2. the square root of current I passing through the wire.
3. the time for which current is passed.
4. Both (1) and (3)

Both (1) and (3)

Reason — The amount of heat produced in a wire on passing current through it, depends on the following three factors.

1. The amount of current passing through the wire — The amount of heat H produced in a wire is directly proportional to the square of current I passing through the wire, i.e., H ∝ I²
2. The resistance of wire — The amount of heat H produced in the wire is directly proportional to the resistance R of the wire, i.e., H ∝ R.
3. The time for which current is passed in the wire — The amount of heat H produced in a wire is directly proportional to the time t for which current is passed in the wire i.e., H ∝ t