Final answer:
To determine the power used by two resistors in series, we need the power consumption in the parallel configuration or the resistance values, neither of which are provided. As such, we cannot calculate the exact power used in either series or parallel configurations without additional information.
Step-by-step explanation:
When two resistors are connected in series to a 120-volt line, and they use one-fourth the power compared to when they are connected in parallel, we need to determine the power used in the series configuration.
The power used by resistors in series can be found by using the formula for power (P), which is P = V^2 / R, where V is the voltage and R is the total resistance. If connected in parallel, the power usage is four times that of the series connection. Given that the power in parallel is known (4 times the series power), and assuming the power in parallel is P when the resistors are connected to a 120-volt source, then the series power is P/4.
To find the actual power consumed in series (P/4), we need the power consumed in parallel (P). The voltage provided is 120 volts, but without the resistance values or parallel power, we cannot calculate the exact power in watts. However, if the parallel power can be determined based on additional information or context, then we can find P, and hence P/4 will provide the power used in series.
Without the resistance values or the actual power in parallel, we cannot select an option like 30 watts, 60 watts, 120 watts, or 240 watts as the exact answer to the power used by the resistors when connected in series to a 120-volt line.