Two resistors \(A\) and \(B\) have resistances \(R_A\) and \(R_B\) respectively with \(R_A < R_B .\) The resistivities of their materials are \(\rho_A\) and \(\rho_B\) is:

1. \( ρ_A > ρ_B \)
2. \( ρ_A= ρ_B \)
3. \( ρ_A < ρ_B \)
4. The information is not sufficient to find the relation between \(\rho_A\) and \(\rho_B\)

Subtopic:  Derivation of Ohm's Law |
 51%
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The product of resistivity and conductivity of a cylindrical conductor depends on:
1. temperature
2. material
3. area of cross-section
4. none of these.

Subtopic:  Derivation of Ohm's Law |
 57%
From NCERT
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As the temperature of a metallic resistor is increased, the product of its resistivity and conductivity:
1. increases
2. decreases
3. remains constant
4. may increase or decrease

Subtopic:  Derivation of Ohm's Law |
 76%
From NCERT
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In an electric circuit containing a battery, the charge (assumed positive) inside the battery:

1. always goes from the positive terminal to the negative terminal.
2. may go from the positive terminal to the negative terminal.
3. always goes from the negative terminal to the positive terminal.
4. does not move.
Subtopic:  Grouping of Cells |
From NCERT
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A resistor of resistance \(R\) is connected to an ideal battery. If the value of \(R\) is decreased, the power dissipated in the resistor will:

1. increase 2. decrease
3. remains unchanged 4. can't be determined
Subtopic:  Heating Effects of Current |
 69%
From NCERT
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A current passes through a resistor. Let K1 and K2 represent the average kinetic energy of the conduction electrons and the metal ions respectively.

1.   K1 < K2

2.   K1 = K2

3.   K1 > K2

4.   Any of these three may occur

Subtopic:  Current & Current Density |
From NCERT
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Two resistors \(R\) and \(2R\) are connected in series in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio of:
1. \(1:2\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)

Subtopic:  Heating Effects of Current |
 80%
From NCERT
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Two resistances \(R\) and \(2R\) are connected in parallel in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio:
1. \(1 : 2\)
2. \(2 : 1\)
3. \(  1 : 4\)
4. \(4 : 1\)

Subtopic:  Heating Effects of Current |
 78%
From NCERT
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A uniform wire of resistance \(50~\Omega\) \(\) is cut into \(5\) equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is:

1. \(2~\Omega\) \(\) 2. \(10~\Omega\) \(\)
3. \(250~\Omega\) \(\) 4. \(6250~\Omega\) 
Subtopic:  Derivation of Ohm's Law |
 77%
From NCERT
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Consider the following two statements:

Statement I: Kirchhoff’s junction law follows from the conservation of charge.
Statement II: Kirchhoff’s loop law follows from the conservative nature of the electric field.
 
1. Both Statement I and Statement II are correct.
2. Statement I is correct but Statement II is incorrect.
3. Statement I is incorrect but Statement II is correct.
4. Both Statement I and Statement II are incorrect.

Subtopic:  Kirchoff's Voltage Law | Kirchoff's Current Law |
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