Temperature Dependence of Resistivity
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PHXII03:CURRENT ELECTRICITY

357553 The resistance of the bulb filament is \(100\,\Omega \) at a temperature of \(20^\circ C\). If its temperature co-efficient of resistance be 0.005 per \(^\circ C\), its resistance at \(30^\circ C\) is

1 \(105\,\Omega \)
2 \(110\,\Omega \)
3 \(120\,\Omega \)
4 \(150\,\Omega \)
PHXII03:CURRENT ELECTRICITY

357554 Resistance of a resistor at temperature \({\rm{t}}^\circ {\rm{C}}\) is \({{\rm{R}}_t} = {{\rm{R}}_0}(1 + \alpha t + \beta {t^2})\) Here \({{\rm{R}}_0}\) is the resistance at \(0^\circ {\rm{C}}\).The temperature coefficient of resistance at temperature \(t^\circ {\rm{C}}\) is

1 \(\frac{{\left( {\alpha + 2\beta t} \right)}}{{2(1 + \alpha t + \beta {t^2})}}\)
2 \(\frac{{2(1 + \alpha t + \beta {t^2})}}{{\left( {\alpha + 2\beta t} \right)}}\)
3 \(\frac{{\alpha + 2\beta t}}{{(1 + \alpha t + \beta {t^2})}}\)
4 \(\left( {\alpha + 2\beta t} \right)\)
PHXII03:CURRENT ELECTRICITY

357555 The resistance of the platinum wire of a platinum resistance thermometer at the ice point and steam point are \(8\,\,\Omega \) and \(10\,\,\Omega \) respectively. After inserting in a hot bath of temperature \(400^\circ C,\) the resistance of platinum wire is

1 \(2\,\,\Omega \)
2 \(10\,\,\Omega \)
3 \(8\,\,\Omega \)
4 \(16\,\,\Omega \)
JEE - 2024
PHXII03:CURRENT ELECTRICITY

357556 A heating element has a resistance of \(100\,\Omega \) at room temperature. When it is connected to a supply of 220\(V\) a steady current of 2\(A\) passes in it and temparature is \(500^\circ C\) more than room temperature. What is the temperature coefficient of resistance of the heating element?

1 \(5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
2 \(2 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
3 \(1 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
4 \(0.5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
JEE - 2018
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PHXII03:CURRENT ELECTRICITY

357553 The resistance of the bulb filament is \(100\,\Omega \) at a temperature of \(20^\circ C\). If its temperature co-efficient of resistance be 0.005 per \(^\circ C\), its resistance at \(30^\circ C\) is

1 \(105\,\Omega \)
2 \(110\,\Omega \)
3 \(120\,\Omega \)
4 \(150\,\Omega \)
PHXII03:CURRENT ELECTRICITY

357554 Resistance of a resistor at temperature \({\rm{t}}^\circ {\rm{C}}\) is \({{\rm{R}}_t} = {{\rm{R}}_0}(1 + \alpha t + \beta {t^2})\) Here \({{\rm{R}}_0}\) is the resistance at \(0^\circ {\rm{C}}\).The temperature coefficient of resistance at temperature \(t^\circ {\rm{C}}\) is

1 \(\frac{{\left( {\alpha + 2\beta t} \right)}}{{2(1 + \alpha t + \beta {t^2})}}\)
2 \(\frac{{2(1 + \alpha t + \beta {t^2})}}{{\left( {\alpha + 2\beta t} \right)}}\)
3 \(\frac{{\alpha + 2\beta t}}{{(1 + \alpha t + \beta {t^2})}}\)
4 \(\left( {\alpha + 2\beta t} \right)\)
PHXII03:CURRENT ELECTRICITY

357555 The resistance of the platinum wire of a platinum resistance thermometer at the ice point and steam point are \(8\,\,\Omega \) and \(10\,\,\Omega \) respectively. After inserting in a hot bath of temperature \(400^\circ C,\) the resistance of platinum wire is

1 \(2\,\,\Omega \)
2 \(10\,\,\Omega \)
3 \(8\,\,\Omega \)
4 \(16\,\,\Omega \)
JEE - 2024
PHXII03:CURRENT ELECTRICITY

357556 A heating element has a resistance of \(100\,\Omega \) at room temperature. When it is connected to a supply of 220\(V\) a steady current of 2\(A\) passes in it and temparature is \(500^\circ C\) more than room temperature. What is the temperature coefficient of resistance of the heating element?

1 \(5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
2 \(2 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
3 \(1 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
4 \(0.5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
JEE - 2018
NEET DIGITAL LIBRARY
PHXII03:CURRENT ELECTRICITY

357553 The resistance of the bulb filament is \(100\,\Omega \) at a temperature of \(20^\circ C\). If its temperature co-efficient of resistance be 0.005 per \(^\circ C\), its resistance at \(30^\circ C\) is

1 \(105\,\Omega \)
2 \(110\,\Omega \)
3 \(120\,\Omega \)
4 \(150\,\Omega \)
PHXII03:CURRENT ELECTRICITY

357554 Resistance of a resistor at temperature \({\rm{t}}^\circ {\rm{C}}\) is \({{\rm{R}}_t} = {{\rm{R}}_0}(1 + \alpha t + \beta {t^2})\) Here \({{\rm{R}}_0}\) is the resistance at \(0^\circ {\rm{C}}\).The temperature coefficient of resistance at temperature \(t^\circ {\rm{C}}\) is

1 \(\frac{{\left( {\alpha + 2\beta t} \right)}}{{2(1 + \alpha t + \beta {t^2})}}\)
2 \(\frac{{2(1 + \alpha t + \beta {t^2})}}{{\left( {\alpha + 2\beta t} \right)}}\)
3 \(\frac{{\alpha + 2\beta t}}{{(1 + \alpha t + \beta {t^2})}}\)
4 \(\left( {\alpha + 2\beta t} \right)\)
PHXII03:CURRENT ELECTRICITY

357555 The resistance of the platinum wire of a platinum resistance thermometer at the ice point and steam point are \(8\,\,\Omega \) and \(10\,\,\Omega \) respectively. After inserting in a hot bath of temperature \(400^\circ C,\) the resistance of platinum wire is

1 \(2\,\,\Omega \)
2 \(10\,\,\Omega \)
3 \(8\,\,\Omega \)
4 \(16\,\,\Omega \)
JEE - 2024
PHXII03:CURRENT ELECTRICITY

357556 A heating element has a resistance of \(100\,\Omega \) at room temperature. When it is connected to a supply of 220\(V\) a steady current of 2\(A\) passes in it and temparature is \(500^\circ C\) more than room temperature. What is the temperature coefficient of resistance of the heating element?

1 \(5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
2 \(2 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
3 \(1 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
4 \(0.5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
JEE - 2018
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PHXII03:CURRENT ELECTRICITY

357553 The resistance of the bulb filament is \(100\,\Omega \) at a temperature of \(20^\circ C\). If its temperature co-efficient of resistance be 0.005 per \(^\circ C\), its resistance at \(30^\circ C\) is

1 \(105\,\Omega \)
2 \(110\,\Omega \)
3 \(120\,\Omega \)
4 \(150\,\Omega \)
PHXII03:CURRENT ELECTRICITY

357554 Resistance of a resistor at temperature \({\rm{t}}^\circ {\rm{C}}\) is \({{\rm{R}}_t} = {{\rm{R}}_0}(1 + \alpha t + \beta {t^2})\) Here \({{\rm{R}}_0}\) is the resistance at \(0^\circ {\rm{C}}\).The temperature coefficient of resistance at temperature \(t^\circ {\rm{C}}\) is

1 \(\frac{{\left( {\alpha + 2\beta t} \right)}}{{2(1 + \alpha t + \beta {t^2})}}\)
2 \(\frac{{2(1 + \alpha t + \beta {t^2})}}{{\left( {\alpha + 2\beta t} \right)}}\)
3 \(\frac{{\alpha + 2\beta t}}{{(1 + \alpha t + \beta {t^2})}}\)
4 \(\left( {\alpha + 2\beta t} \right)\)
PHXII03:CURRENT ELECTRICITY

357555 The resistance of the platinum wire of a platinum resistance thermometer at the ice point and steam point are \(8\,\,\Omega \) and \(10\,\,\Omega \) respectively. After inserting in a hot bath of temperature \(400^\circ C,\) the resistance of platinum wire is

1 \(2\,\,\Omega \)
2 \(10\,\,\Omega \)
3 \(8\,\,\Omega \)
4 \(16\,\,\Omega \)
JEE - 2024
PHXII03:CURRENT ELECTRICITY

357556 A heating element has a resistance of \(100\,\Omega \) at room temperature. When it is connected to a supply of 220\(V\) a steady current of 2\(A\) passes in it and temparature is \(500^\circ C\) more than room temperature. What is the temperature coefficient of resistance of the heating element?

1 \(5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
2 \(2 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
3 \(1 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
4 \(0.5 \times {10^{ - 4}}{}^0{C^{ - 1}}\)
JEE - 2018
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