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The operating temperature of the filament of lamp is \mathrm{ 2000~^{\circ}C}. The temperature coefficient of the material of filament is \mathrm{ 0.0005~^{\circ}C-1} . If the atmospheric temperature is \mathrm{ 0~^{\circ}C}, then the current in the \mathrm{100 ~W-200~V} lamp when it is switched on is nearest to
 

Option: 1

2.5 A  


Option: 2

3.5 A  


Option: 3

4.5 A  


Option: 4

5.5 A


Answers (1)

best_answer

\begin{aligned} &\mathrm{ R_{200}=\frac{200 \times 200}{100}=400 \Omega }\\ &\mathrm{ \text { So, } 400=R_0[1+0.005 \times 2000] }\\ &\mathrm{ \therefore R_0=\frac{400}{11} \Omega \approx 36 \Omega, \text { Hence, current } I=\frac{200}{R_0}=5.5 \mathrm{~A}}\\ \end{aligned}

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Rishi

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