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Two 120 V light bulbs, one of 25 W other...

Two 120 V light bulbs, one of 25 W other of 200 W were connected in series across a 240 V line. One bulb burnt out almost instantaneously. Which one was burnt and why ?

Text Solution

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As `R = V^(2)//P or R prop 1//P` , so 25 watt bulb has more resistance than 200 W bulb. In the series circuit, same current flows through both the bulbs. As heat produced `H = I^(2) R t or H prop R` so more heat is produced in 25 W bulb burns out almost instantaneously and circuit is broken.
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