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Question

Physics Question on Current electricity

An electric bulb is rated 220 volt - 100 watt. The power consumed by it when operated on 110 volt will be :

A

75 watt

B

40 watt

C

25 watt

D

50 watt

Answer

25 watt

Explanation

Solution

Resistance of electric bulb R=V2PR=\frac{V^{2}}{P} where subscripts denote for rated parameters. R=(220)2100R=\frac{\left(220\right)^{2}}{100} Power consumed at 110 volt, Pconsumed=V2RP_{consumed}=\frac{V^{2}}{R} Pconsumed=(110)2(220)2/100=25W\therefore P_{consumed}=\frac{\left(110\right)^{2}}{\left(220\right)^{2}/100}=25\,W