The correct option is B becomes double.
According to Thomson effect, if the potential applied to the ends of a conductor differs, the temperature difference will develop across the two ends of conductor.
⇒(V2−V1)∝(θ2−θ1)
⇒dV∝dθ
Hence, if the emf of the battery in a thermocouple is doubled, the rate of heat generation at one of the junctions will become double.