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Factors Affecting Resistance & How They Affect

The resistanc...

Question

The resistance of a bulb filament is $100 Ω$ at a temperature of $100^{o} C$ . lf its temperature coefficient of resistance be $0.005 per^{\circ} C$ , its resistance will become $200 Ω$ at a temperature of

200^{o} C

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300^{o} C

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400^{o} C

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500^{o} C

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Solution

The correct option is B $300^{o} C$
We know that
$T_{t} = T_{o} (1 + α Δ T)$
On putting the values we get
$200 = 100 [1 + (0.005 \times Δ T)]$ (governing equation formed according to the statement of question)
$\frac{200}{100} - 1 = 0.005 \times Δ T$
On soving we get
$T = 300^{o} C$

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The resistance of a bulb filament is 100 Ω at a temperature of 100oC. lf its temperature coefficient of resistance be 0.005 per ∘C, its resistance will become 200 Ω at a temperature of

The correct option is B 300oCWe know thatTt=To(1+αΔT)On putting the values we get200=100[1+(0.005×ΔT)] (governing equation formed according to the statement of question)200100−1=0.005×ΔTOn soving we getT=300oC

The resistance of a bulb filament is $100 Ω$ at a temperature of $100^{o} C$ . lf its temperature coefficient of resistance be $0.005 per^{\circ} C$ , its resistance will become $200 Ω$ at a temperature of

The correct option is B $300^{o} C$
We know that
$T_{t} = T_{o} (1 + α Δ T)$
On putting the values we get
$200 = 100 [1 + (0.005 \times Δ T)]$ (governing equation formed according to the statement of question)
$\frac{200}{100} - 1 = 0.005 \times Δ T$
On soving we get
$T = 300^{o} C$