INTERNAL RESISTANCE AND EMF
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Current Electricity

268457 Two conductors have the same resistance at \(0^{\circ} \mathrm{C}\) but their temperature coefficients of resistance are \(\alpha_{1}\) and \(\alpha_{2}\). The respective temperature coefficients of their series and parallel combinations are nearly [AIE -2010]

1 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \alpha_{1}+\alpha_{2}\)
2 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
3 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}}\)
4 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
Current Electricity

268490 Two batteries of differentemf and internal resistances connected in series with each other and with an external load resistor. The current is \(3.0 \mathrm{~A}\). When the polarity of one battery is reversed, the current becomes 1.0 A. The ratio of the emf of the two batteries is

1 \(2.5: 1\)
2 \(2: 1\)
3 \(3: 2\)
4 \(1: 1\)
Current Electricity

268491 Thepd across terminals of a cell isfound to be 29 volt and 28 volt respectively when it delivers a current of 1 ampere and 2 ampere respectively. The emf and internal resistance of a cell are respectively

1 \(30 \mathrm{~V}, 2 \Omega\)
2 \(30 \mathrm{~V}, 1_{\Omega}\)
3 \(29 \mathrm{~V}, 1_{\Omega}\)
4 \(28 \mathrm{~V}, 2 \Omega\)
Current Electricity

268492 The current in a circuit containing a battery connected to\(2 \Omega\) resistance is \(0.9 \mathrm{~A}\). W hen a resistance of \(7 \Omega\) connected to the same battery, the current observed in the circuit is \(0.3 A\). Then the internal resistance of the battery is

1 \(0.1 \Omega\)
2 \(0.5 \Omega\)
3 \(1 \Omega\)
4 Zero
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Current Electricity

268457 Two conductors have the same resistance at \(0^{\circ} \mathrm{C}\) but their temperature coefficients of resistance are \(\alpha_{1}\) and \(\alpha_{2}\). The respective temperature coefficients of their series and parallel combinations are nearly [AIE -2010]

1 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \alpha_{1}+\alpha_{2}\)
2 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
3 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}}\)
4 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
Current Electricity

268490 Two batteries of differentemf and internal resistances connected in series with each other and with an external load resistor. The current is \(3.0 \mathrm{~A}\). When the polarity of one battery is reversed, the current becomes 1.0 A. The ratio of the emf of the two batteries is

1 \(2.5: 1\)
2 \(2: 1\)
3 \(3: 2\)
4 \(1: 1\)
Current Electricity

268491 Thepd across terminals of a cell isfound to be 29 volt and 28 volt respectively when it delivers a current of 1 ampere and 2 ampere respectively. The emf and internal resistance of a cell are respectively

1 \(30 \mathrm{~V}, 2 \Omega\)
2 \(30 \mathrm{~V}, 1_{\Omega}\)
3 \(29 \mathrm{~V}, 1_{\Omega}\)
4 \(28 \mathrm{~V}, 2 \Omega\)
Current Electricity

268492 The current in a circuit containing a battery connected to\(2 \Omega\) resistance is \(0.9 \mathrm{~A}\). W hen a resistance of \(7 \Omega\) connected to the same battery, the current observed in the circuit is \(0.3 A\). Then the internal resistance of the battery is

1 \(0.1 \Omega\)
2 \(0.5 \Omega\)
3 \(1 \Omega\)
4 Zero
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Current Electricity

268457 Two conductors have the same resistance at \(0^{\circ} \mathrm{C}\) but their temperature coefficients of resistance are \(\alpha_{1}\) and \(\alpha_{2}\). The respective temperature coefficients of their series and parallel combinations are nearly [AIE -2010]

1 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \alpha_{1}+\alpha_{2}\)
2 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
3 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}}\)
4 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
Current Electricity

268490 Two batteries of differentemf and internal resistances connected in series with each other and with an external load resistor. The current is \(3.0 \mathrm{~A}\). When the polarity of one battery is reversed, the current becomes 1.0 A. The ratio of the emf of the two batteries is

1 \(2.5: 1\)
2 \(2: 1\)
3 \(3: 2\)
4 \(1: 1\)
Current Electricity

268491 Thepd across terminals of a cell isfound to be 29 volt and 28 volt respectively when it delivers a current of 1 ampere and 2 ampere respectively. The emf and internal resistance of a cell are respectively

1 \(30 \mathrm{~V}, 2 \Omega\)
2 \(30 \mathrm{~V}, 1_{\Omega}\)
3 \(29 \mathrm{~V}, 1_{\Omega}\)
4 \(28 \mathrm{~V}, 2 \Omega\)
Current Electricity

268492 The current in a circuit containing a battery connected to\(2 \Omega\) resistance is \(0.9 \mathrm{~A}\). W hen a resistance of \(7 \Omega\) connected to the same battery, the current observed in the circuit is \(0.3 A\). Then the internal resistance of the battery is

1 \(0.1 \Omega\)
2 \(0.5 \Omega\)
3 \(1 \Omega\)
4 Zero
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Current Electricity

268457 Two conductors have the same resistance at \(0^{\circ} \mathrm{C}\) but their temperature coefficients of resistance are \(\alpha_{1}\) and \(\alpha_{2}\). The respective temperature coefficients of their series and parallel combinations are nearly [AIE -2010]

1 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \alpha_{1}+\alpha_{2}\)
2 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
3 \(\alpha_{1}+\alpha_{2}, \frac{\alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}}\)
4 \(\frac{\alpha_{1}+\alpha_{2}}{2}, \frac{\alpha_{1}+\alpha_{2}}{2}\)
Current Electricity

268490 Two batteries of differentemf and internal resistances connected in series with each other and with an external load resistor. The current is \(3.0 \mathrm{~A}\). When the polarity of one battery is reversed, the current becomes 1.0 A. The ratio of the emf of the two batteries is

1 \(2.5: 1\)
2 \(2: 1\)
3 \(3: 2\)
4 \(1: 1\)
Current Electricity

268491 Thepd across terminals of a cell isfound to be 29 volt and 28 volt respectively when it delivers a current of 1 ampere and 2 ampere respectively. The emf and internal resistance of a cell are respectively

1 \(30 \mathrm{~V}, 2 \Omega\)
2 \(30 \mathrm{~V}, 1_{\Omega}\)
3 \(29 \mathrm{~V}, 1_{\Omega}\)
4 \(28 \mathrm{~V}, 2 \Omega\)
Current Electricity

268492 The current in a circuit containing a battery connected to\(2 \Omega\) resistance is \(0.9 \mathrm{~A}\). W hen a resistance of \(7 \Omega\) connected to the same battery, the current observed in the circuit is \(0.3 A\). Then the internal resistance of the battery is

1 \(0.1 \Omega\)
2 \(0.5 \Omega\)
3 \(1 \Omega\)
4 Zero
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