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Question 82 of 102

Q.In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is R, the resistance of a 60 W bulb for use in USA will be :

(a) R/4
(b) R
(c) R/2
(d) 2R
Tamil Nadu DgeTamil Nadu HSC (DGE) Board 2022MCQ· 1mImportance★★★★★
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Using R=V2/PR=V^2/P for the same 60 W bulb at two different voltages, and taking the ratio, shows the USA-rated bulb's resistance is one-fourth of the India-rated bulb's resistance.

Working

For a resistive bulb rated at power PP and voltage VV:

P=V2R ⇒ R=V2PP=\dfrac{V^2}{R}\ \Rightarrow\ R=\dfrac{V^2}{P}

India bulb (60 W at 220 V): R=220260R=\dfrac{220^2}{60}

USA bulb (60 W at 110 V): R′=110260R'=\dfrac{110^2}{60}

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