In this question, we cannot determine the resistance of the toaster or heater solely based on their power ratings (1kW for the toaster and 2kW for the heater). The power rating, measured in kilowatts (kW), tells us the rate at which energy is consumed or produced by the respective devices, but it doesn't directly provide information about their resistance.
The formula P = I²R (where P is power, I is current, and R is resistance) is used to calculate the power dissipated in a resistive component when the current passing through it is known. However, we don't have enough information to calculate the resistance using only the power ratings.
The resistance of an electrical component depends on its design, materials, and physical properties. To calculate the resistance of the toaster or heater, we would need additional information, such as the voltage they operate at (usually 110V or 220V) and the current they draw.
So, without additional data on the voltage or current of the toaster and heater, we cannot determine which one has a greater resistance based solely on their power ratings.