AIIMS 2018 Physics Power and Energy MCQ Question
Two bulbs of 500 W and 200 W are manufactured to operate on 220 V line. The ratio of heat produced in 500 W and 200 W, in two cases, when firstly they are connected in parallel and secondary in series will be
5/2 : 2/5
5/2 : 5/2
2/5 : 5/2
2/5 : 2/5
Correct Answer
Detailed Explanation
When the bulbs are connected in parallel, they both receive the full voltage of 220 V, leading to heat production proportional to their power ratings: . Thus, the heat produced by the 500 W bulb is 500 and by the 200 W bulb is 200, giving a ratio of . In series, the voltage across each bulb is divided based on their resistances, resulting in a different heat ratio. The effective power for each bulb in series is calculated using , leading to a heat ratio of for both configurations, thus yielding a final ratio of in option B. Other options are incorrect as they misrepresent the ratios derived from the heat calculations in both configurations.
Found an issue with this question?