The correct answer is C. Wire wound resistor.
A wire wound resistor is a type of resistor that uses a wire of high resistance material, such as nichrome or manganin, wound around a ceramic core. The wire is then insulated with a layer of lacquer or enamel. Wire wound resistors are typically used in applications where high power or high precision is required.
A metallic resistor is a type of resistor that uses a thin film of metal, such as nickel or copper, deposited on a ceramic substrate. Metallic resistors are typically used in applications where low power and low precision is required.
A carbon resistor is a type of resistor that uses a mixture of carbon and graphite as the resistive element. Carbon resistors are typically used in applications where low power and low precision is required.
A variable resistor is a type of resistor that can be adjusted to change its resistance. Variable resistors are typically used in applications where the resistance needs to be changed to control the amount of current flowing through a circuit.
In this case, the resistance is 10 ohms and the power is 10 W. This means that the resistor needs to be able to handle a lot of current. Wire wound resistors are the best type of resistor for this application because they can handle a lot of current and they are also very accurate.