The correct option is A 0∘C
Specific heat capacity of ice = 2100 J/kg∘C,
Specific heat capacity of water = 4200 J/kg∘C Latent heat of fusion of ice = 3.36×105 J/kg.
The heat given by the water when it cools down from 30∘C to 0∘C is
(0.01 kg)(2100 J/kg∘C)(20∘C)=210J
The heat required to melt 5 g of ice is
(0.005 kg)(3.36×105 J/kg)=1680J
We see that whole of the ice cannot be melted as the required amount of heat is not provided by the water. Also, the heat is enough to bring the ice to 0∘C. Thus the final temperature of the mixture is 0∘C with some of the ice melted.