This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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a) Specific latent heat of fusion is the amount of heat energy required to change of a substance from its solid state to its liquid state at its melting point, without any change in temperature.
b) i) Other than current and voltage, two measurements that would be taken in order to determine the quantity of heat absorbed by the melted ice are:
ii) To determine the power of the heater:
Step 1: The heat energy absorbed by the melted ice is given by the formula: where is the mass of the melted ice and is the specific latent heat of fusion of ice.
Step 2: The heat energy supplied by the electric heater over a time is given by the formula: where is the power of the heater and is the time duration for which the heater was on.
Step 3: Assuming all the heat supplied by the heater is absorbed by the ice (no heat loss to the surroundings), we can equate the two expressions for :
Step 4: To determine the power of the heater, rearrange the equation: Thus, by measuring the mass of melted ice () and the time taken (), and knowing the specific latent heat of fusion (), the power of the heater can be calculated.
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a) Specific latent heat of fusion is the amount of heat energy required to change 1 kg of a substance from its solid state to its liquid state at its melting point, without any change in temperature.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.