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Answer:
B
Explanation:
B) 25 W bulb fuses
B is the right answer
Verified answer
QUESTION:
Two electric bulbs rated 25W-220V and 100W-220V are connected in series to a 440V supply. Which of the bulbs will fuse?
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ANSWER:
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GIVEN:
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EXPLANATION:
As the bulbs are in series voltage will be different.
[tex]\bigstar\boxed{\bold{\large{\red{P = \dfrac{V^2}{R}}}}} \\ \\ \\ \leadsto\sf R_1 = \dfrac{V^2}{P_1} \implies\dfrac{(220)^2}{25} \\ \\ \\ \leadsto \sf R_2 = \dfrac{V^2}{P_2} \implies\dfrac{(220)^2}{100} \\ \\ \\ \leadsto \sf \frac{R_1}{ R_2 } = \dfrac{\dfrac{(220)^2}{25}}{\dfrac{(220)^2}{100}}\\ \\ \\ \leadsto \sf \frac{R_1}{ R_2 } = \dfrac{100}{25} \\ \\ \\ \leadsto \sf \frac{R_1}{ R_2 } = 4\\ \\ \\ \sf \pink{ As \ V \propto R, \ Voltage \ will \ also \ be \ shared\ in\ the} \\ \sf\pink {ratio \ of \ 4 : 1.} \\ \\ \\ \leadsto \sf 5x = 440 \\ \\ \\ \leadsto \sf x = 88 \\ \\ \\ \leadsto \sf 4x = 352 \ and \ x = 88 \\ \\ \\ [/tex]
Voltage in 25 W bulb will be 352 V which is more than 220 V which will make it to fuse.