AIIMS2018Physics-Electricity

AIIMS 2018 Physics Power and Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 12

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

A

5/2 : 2/5

B

5/2 : 5/2

C

2/5 : 5/2

D

2/5 : 2/5

Correct Answer

Option B

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: Qparallel=PtQ_{parallel} = P \cdot t. Thus, the heat produced by the 500 W bulb is 500 and by the 200 W bulb is 200, giving a ratio of 500:200=5:2500 : 200 = 5 : 2. 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 P=V2RP = \frac{V^2}{R}, leading to a heat ratio of 5:25 : 2 for both configurations, thus yielding a final ratio of 5/2:5/25/2 : 5/2 in option B. Other options are incorrect as they misrepresent the ratios derived from the heat calculations in both configurations.

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