Final answer:
To calculate the resistance of a 60-watt light bulb operating at 115 volts, use the power formula P = V2 / R and rearrange to R = V2 / P. The calculated resistance is 220.4167 ohms, so the closest answer is 220 ohms (option D).
Step-by-step explanation:
To find the resistance of a light bulb rated at 60 watts operating at 115 volts, we can use the formula for power, which states that power (P) is equal to the voltage (V) squared divided by the resistance (R), or P = V2 / R. By rearranging the formula to solve for resistance, we get R = V2 / P.
Substituting the given values, we calculate the resistance as follows:
R = 1152 / 60
R = 13,225 / 60
R = 220.4167 ohms
Therefore, the closest answer choice to our calculated resistance value is D.220 ohms.