Q. No.In an experiment to determined the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as \(10~\text{V}\) and \(5~\text{A}\), respectively The least counts of voltmeter and ammeter are \(500 ~\text{mV}\) and \(200~\text{mA}\), respectively. The estimated error in the resistance measurement is: (in \(\Omega\))
1. \(0.25 \)
2. \(2\)
3. \(2.5\)
4. \(0.18\)
1. \(0.25 \)
2. \(2\)
3. \(2.5\)
4. \(0.18\)
Subtopic: Derivation of Ohm's Law |
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Level 3: 35%-60%
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Under steady state condition the potential difference across the capacitor in the circuit is: (in \(\text{V}\))
1. \(0.5\)
2. \(1.5\)
3. \(0\)
4. \(2\)
1. \(0.5\)
2. \(1.5\)
3. \(0\)
4. \(2\)
Subtopic: Derivation of Ohm's Law |
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Level 3: 35%-60%
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Two resistors of \(100~ \Omega\) each connected in series with a \(9~\text V\) battery. A voltmeter of \(400~\Omega\) resistance is connected to measure the voltage drop across one the resistors. the voltmeter reading is: (in V)
1. \(3\)
2. \(4.5\)
3. \(4\)
4. \(2\)
1. \(3\)
2. \(4.5\)
3. \(4\)
4. \(2\)
Subtopic: Derivation of Ohm's Law |
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Level 2: 60%+
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Which one of the following is not a measurable quantity?
1. Voltage difference
2. Resistance
3. Voltage
4. Displacement current
1. Voltage difference
2. Resistance
3. Voltage
4. Displacement current
Subtopic: Derivation of Ohm's Law |
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Level 2: 60%+
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A wire of length \(25 ~\text m \) and cross-sectional area \(5 \text{ mm}^2\) having resistivity of \(2 \times 10^{-6} ~\Omega ~\text m\) is bent into a complete circle. The resistance between diametrically opposite points will be:
1. \(12.5~\Omega\)
2. \(5.0~\Omega\)
3. \(10.0~\Omega\)
4. \(2.5~\Omega\)
1. \(12.5~\Omega\)
2. \(5.0~\Omega\)
3. \(10.0~\Omega\)
4. \(2.5~\Omega\)
Subtopic: Derivation of Ohm's Law |
Level 4: Below 35%
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Which of the following resistivity \((\rho)\) v/s temperature \((T)\) curves is most suitable to be used in wire bound standard resistors?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Derivation of Ohm's Law |
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Level 2: 60%+
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Resistance of a wire at \(0^\circ ,\) \(\mathrm{100^\circ C}\) and \(\mathrm{t^\circ C}\) is found to be \(10~\Omega, 10.2~\Omega\) and \(10.95~\Omega\) respectively. The temperature \(\mathrm{t}\) in the Kelvin scale is:
1. \(273~\text K\)
2. \(363~\text K\)
3. \(748~\text K\)
4. \(493~\text K\)
1. \(273~\text K\)
2. \(363~\text K\)
3. \(748~\text K\)
4. \(493~\text K\)
Subtopic: Derivation of Ohm's Law |
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Level 3: 35%-60%
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Two wires \(A\) and \(B\) are made up of the same material and have the same mass. Wire A has radius of \(2.0\) mm and wire \(B\) has radius of \(4.0~\text{mm}.\) The resistance of wire B is \(2~\Omega.\) The resistance of wire \(A\) is: ________ \(Ω\).
1. \(63~\Omega\)
2. \(32~\Omega\)
3. \(25~\Omega\)
4. \(44~\Omega\)
1. \(63~\Omega\)
2. \(32~\Omega\)
3. \(25~\Omega\)
4. \(44~\Omega\)
Subtopic: Derivation of Ohm's Law |
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Level 1: 80%+
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At room temperature (\(27^{\circ} \mathrm{C}\)), the resistance of a heating element is \(50~Ω\). The temperature coefficient of the material is \(2.4 \times 10^{-4} \mathrm{C}^{-1} \). The temperature of the element, when its resistance is \(62~Ω\), is _____\({ }^{\circ} \mathrm{C}\).
1. \(1027\)
2. \(927\)
3. \(827\)
4. \(1000\)
1. \(1027\)
2. \(927\)
3. \(827\)
4. \(1000\)
Subtopic: Derivation of Ohm's Law |
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Level 2: 60%+
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To determine the resistance \(R\) of a wire, a circuit is designed below. The \(V-I\) characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in the figure. The value of \(R\) is:
1.
2.
3.
4.
1.
2.
3.
4.
Subtopic: Derivation of Ohm's Law |
Level 4: Below 35%
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