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 |
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When no current is passed through a conductor,

a. the free electrons do not move.
b. the average speed of a free electron over a large period of time is zero.
c. the average velocity of a free electron over a large period of time is zero.
d. the average of the velocities of all the free electrons at an instant is zero.

Choose the correct option: 
1. (a) only 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 

Subtopic:  Current & Current Density |
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A uniformly increasing current flows through a \(30\) \(\Omega\) resistance, as shown in the graph.
    
The thermal energy generated in the resistance due to Joule heating is:
1. \(240\) J
2. \(480\) J
3. \(160\) J
4. \(320\) J
Subtopic:  Heating Effects of Current |
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In a Wheatstone Bridge arrangement, as shown in the figure, the bridge is balanced. However, when the resistances in the arms P, Q are switched, the bridge is balanced only when \(R\) is replaced by \(4R\) in the other two arms. If the value of R is \(100\) \(\Omega\), that of S is:
                                
1. \(100\) \(\Omega\)
2. \(50\) \(\Omega\)
3. \(200\) \(\Omega\)
4. \(400\) \(\Omega\)
Subtopic:  Wheatstone Bridge |
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A wire is connected to form an equilateral triangle ABC, each side having a resistance of \(4\) \(\Omega\). The vertex C is maintained at zero volts (\(V_C=0\)), and currents flowing in at A and B are as shown in the figure. The ratio of the potentials at D and E \(\Big(i.e.~\frac{V_D}{V_E}\Big)\) equals:
                                            
1. \(\frac31\)

2. \(\frac21\)

3. \(\frac11\)

4. \(\frac53\)
Subtopic:  Kirchoff's Current Law |
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AB is a \(20\) \(\Omega\) resistor with a tapping point C that can be moved along AB. The resistances in AC, BC are proportional to the lengths AC, BC. Initially, C is at the mid-point of AB and the circuit is switched on.
                         
If the tapping point C is moved so that the length BC is reduced to half its initial value, then the voltage across the \(15\) \(\Omega\) resistor,
 
1. increases by \(1\) V
2. decreases by \(1\) V
3. increases by \(3\) V
4. decreases by \(3\) V
 
Subtopic:  Kirchoff's Voltage Law |
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Given below are two statements: 
Statement I: The law of conservation of energy is valid in electric circuits.
Statement II: Kirchhoff's junction law is applicable to electric circuits.
 
1. Statement I and Statement II are True and Statement I is the correct explanation of Statement II.
2. Statement I and Statement II are True and Statement I is not the correct explanation of Statement II.
3. Statement I is True, Statement II is False.
4. Statement I is False, Statement II is True.
Subtopic:  Kirchoff's Current Law |
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All the cells, shown in the figure below, are of \(2\) V, and all the resistances are \(1\) \(\Omega\). When a potential difference \(V\) is applied between A and B, the current through the circuit doubles compared to the situation when the potential difference is made zero.     
Then,
 
   
1. \(V=2\) volt, positive at A.
2. \(V=2\) volt, negative at A.
3. \(V=6\) volt, positive at A.
4. \(V=6\) volt, negative at A.


 
Subtopic:  Kirchoff's Voltage Law |
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All the resistances in the circuit shown below are \(2~\Omega.\) The equivalent resistance between \(A\) and \(C\) is:
                       

1. \(4~\Omega\)
2. \(2~\Omega\)
3. \(\frac43~\Omega\)
4. \(\frac{10}3~\Omega\)
Subtopic:  Combination of Resistors |
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 The current flowing through the left \(20~\Omega\) resistor is:
              
1. \(1\) A 2. \(0.5\) A
3. \(2.5\) A 4. \(3\) A
Subtopic:  Kirchoff's Voltage Law |
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