Ammeter and voltmeter readings were recorded as \(0.5~\text{A}\) and \(1~\text{V}\) during the experiment to determine the resistance of a given wire using Ohm's law. The correct value of the resistance is: 
1. \(1 ~\Omega\)
2. \(10.5~ \Omega\)
3. \(2 ~\Omega\)
4. \(4.5~ \Omega\)
 
Subtopic:  Derivation of Ohm's Law |
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The Ohm's law for a metallic conductor can be represented by: 
1. \(\frac{\text { potential difference }}{\text { current }}=\text{resistance} \)
2. \( \text{current} = \text{resistance} \times \text{potential difference} \)
3. \(\text{current} =\frac{\text { resistance }}{\text { potential difference }} \)
4. \(\text{Both}~ (2)~ \text{and} ~(3)\)
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The shape of \(V\) vs \(I\) graph for an ohmic conductor is: 
1. parabola 
2. straight line 
3. hyperbola 
4. none of these
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For the given \(V-I\) graphs it can be concluded that: 

1. \(R_1>R_2>R_3 \)
2. \(R_1<R_2>R_3 \)
3. \(R_1=R_2=R_3 \)
4. \(R_3>R_2>R_1\)
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The resistance of a wire depends on: 
1. length of the wire
2. area of cross-section of the conductor
3. nature of material and temperature across the conductor
4. All of these
Subtopic:  Derivation of Ohm's Law |
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Given below are two statements: 
Assertion (A): The conductance of a wire increases linearly with its cross-sectional area, but is inversely proportional to its length.
Reason (R): The conductance is inverse of the resistance \((R)\) and, \(R=\rho\dfrac lA,\) where \(l=\) length, \(A\) = area of cross-section.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Derivation of Ohm's Law |
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The resistance of the conductor of unit length and unit area of cross-section is called: 
1. conductance 
2. capacitance 
3. specific resistance 
4. conductivity
Subtopic:  Derivation of Ohm's Law |
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Given below are two statements:
Assertion (A): Alloys such as constantan and manganin are used in making standard resistance coils.
Reason (R): Constantan and manganin have a very small value of temperature coefficient of resistance.
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Derivation of Ohm's Law |
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A nichrome wire \(50~\text{cm}\) long and \(1~\text{mm}^{2}\) cross-section carries a current of \(4~\text{A}\) when connected to a \(2~\text{V}\) battery. The resistivity of nichrome wire is:
1. \(1\times 10^{-6} ~\Omega-\text{m}\)
2. \(4\times 10^{-7}~\Omega-\text{m}\)
3. \(3\times 10^{-7}~\Omega-\text{m}\)
4. \(2\times 10^{-7}~\Omega-\text{m}\)
Subtopic:  Derivation of Ohm's Law |
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A negligibly small current is passed through a wire of length \(15~\text{m}\) and uniform cross-section \(6.0\times10^{-7}~\text{m}^2,\) and its resistance is measured to be \(5.0~\Omega.\) What is the resistivity of the material at the temperature of the experiment?

1. \(1\times 10^{-7}~\Omega\text{m}\) 2. \(2\times 10^{-7}~\Omega\text{m}\)
3. \(3\times 10^{-7}~\Omega\text{m}\) 4. \(1.6\times 10^{-7}~\Omega\text{m}\)
Subtopic:  Derivation of Ohm's Law |
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