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Q. No.The equivalent resistance between points \(A\) and \(B\) in the given network is:
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
Subtopic: Combination of Resistors |
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The current density in a cylindrical wire of radius \(4~\text{mm}\) is \(4 \times 10^6~ \text{Am}^{-2}\). The current through the outer portion of the wire between radial distance \(R \over 2\) and \(R\) is:
1. \(16\pi~\text{A}\)
2. \(64\pi~\text{A}\)
3. \(32\pi~\text{A}\)
4. \(48\pi~\text{A}\)
1. \(16\pi~\text{A}\)
2. \(64\pi~\text{A}\)
3. \(32\pi~\text{A}\)
4. \(48\pi~\text{A}\)
Subtopic: Current & Current Density |
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The current density in a cylindrical wire of radius \(r= 4.0~\text{mm}\) is \(1.0 \times 10^6 ~\text{A/m}^2\). The current through the outer portion of the wire between radial distances \(\frac{r}{2}\) and \(r\) is \(x\pi~ \text{A}\), where \(x\) is:
1. \(10\)
2. \(14\)
3. \(16\)
4. \(12\)
1. \(10\)
2. \(14\)
3. \(16\)
4. \(12\)
Subtopic: Current & Current Density |
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In the given circuit, \(a\) is an arbitrary constant. The value of \(m\) for which the equivalent circuit resistance is minimum will be \(\sqrt{\frac{x}{2}}.\) The value of \(x \) is:
1. \(6\)
2. \(9\)
3. \(3\)
4. \(12\)
1. \(6\)
2. \(9\)
3. \(3\)
4. \(12\)
Subtopic: Combination of Resistors |
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A meter bridge setup is shown in the figure. It is used to determine an unknown resistance \(R\) using a given resistor of \(15~\Omega.\) The galvanometer \((G)\) shows a null deflection when the tapping key is at \(43~\text{cm}\) mark from end \(A\). If the end correction for end \(A\) is \(2~\text{cm}\), then the determined value of \(R\) will be:
1. \(19~\Omega\)
2. \( 22~\Omega\)
3. \(25~\Omega\)
4. \( 28~\Omega\)
1. \(19~\Omega\)
2. \( 22~\Omega\)
3. \(25~\Omega\)
4. \( 28~\Omega\)
Subtopic: Meter Bridge |
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Current measured by the ammeter \(A\) in the reported circuit when no current flows through \(10~\Omega\) resistance will be:
1. \(20~\text{A}\)
2. \(30~\text{A}\)
3. \(10~\text{A}\)
4. \(0~\text{A}\)
1. \(20~\text{A}\)
2. \(30~\text{A}\)
3. \(10~\text{A}\)
4. \(0~\text{A}\)
Subtopic: Wheatstone Bridge |
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Resistance of the wire is measured as \(2~\Omega\) and \(3~\Omega\) at \(10^{\circ}\text{C}\) and \(30^{\circ}\text{C}\) respectively. The temperature co-coefficient of resistance of the material of the wire is:
1. \(0.033^{\circ}\text{C}^{-1}\)
2. \(-0.033^{\circ}\text{C}^{-1}\)
3. \(0.011^{\circ}\text{C}^{-1}\)
4. \(0.055^{\circ}\text{C}^{-1}\)
1. \(0.033^{\circ}\text{C}^{-1}\)
2. \(-0.033^{\circ}\text{C}^{-1}\)
3. \(0.011^{\circ}\text{C}^{-1}\)
4. \(0.055^{\circ}\text{C}^{-1}\)
Subtopic: Heating Effects of Current |
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All resistances in the figure are \(1~\Omega\) each. The value of the current \(I\) is \(\frac{a}{5}~\text{A}\). The value of \(a\) is:
1. \(8\)
2. \(6\)
3. \(12\)
4. \(4\)
1. \(8\)
2. \(6\)
3. \(12\)
4. \(4\)
Subtopic: Combination of Resistors |
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An aluminium wire is stretched to make its length, \(0.4\%\) larger. Then, the percentage change in resistance is:
1. \(0.4\%\)
2. \(0.2\%\)
3. \(0.8\%\)
4. \(0.6\%\)
1. \(0.4\%\)
2. \(0.2\%\)
3. \(0.8\%\)
4. \(0.6\%\)
Subtopic: Derivation of Ohm's Law |
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The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be:
1. \(400\)
2. \(200\)
3. \(100\)
4. \(300\)
1. \(400\)
2. \(200\)
3. \(100\)
4. \(300\)
Subtopic: Derivation of Ohm's Law |
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