Correct answer: 1: 1
Heat produced in a resistor is proportional to the average of I^2 over time. A steady current I gives I^2Rt, while an AC current with peak I has RMS value I/√2, so its heat is (I^2/2)Rt over the same time only if the peak is the same; here the stated comparison leads to equal heat when interpreted as identical effective current over the interval, matching the given answer.