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The current passing through a certain device doubles when the temperature rises by \(10^{\circ}\text{C}\), in the temperature range from \(0^{\circ}\text{C}\) to \(500^{\circ}\text{C}\). This effect is used to measure the temperature of a sample. The current is measured to be \(5~\text{mA}\) at \(15^{\circ}\text{C}\) and then the next measurement shows a current of \(50~\text{mA}\). The temperature of the new measurement is nearly: (take \(\text{log}_{10}2 \simeq 0.3\), if required) 
1. \(150^{\circ}\text{C}\)
2. \(50^{\circ}\text{C}\)
3. \(450^{\circ}\text{C}\)
4. \(25^{\circ}\text{C}\)

Subtopic:  Derivation of Ohm's Law |
 65%
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All the resistances in circuit are \(2~\Omega\) each, \(E_1=4~\text{V}\) and \(E_2=1~\text{V}\). The potential difference between \(C\) and \(D\) (i.e. \(V_{C}-V_{D}\)) is:
        
1. \(1.5~\text{V}\) 2. \(-1.5~\text{V}\)
3. \(1.2~\text{V}\) 4. \(-1.2~\text{V}\)
Subtopic:  Kirchoff's Voltage Law |
 64%
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A cell is connected between \(A\) and \(B\) and it is observed that \(V_{C}=V_{D}\) while the corresponding ammeter current is also noted. When the cell (between \(A\) and \(B\)) is disconnected, and ends \(B\) and \(C\) are connected: the current through an ammeter \(A\) is found to have the same magnitude (but in opposite direction). Then, the resistance \(R\) is:
1. equals \(400~\Omega.\)
2. equals \(200~\Omega.\)
3. can have any value less than \(400~\Omega.\)
4. cannot be determined from the given information.
Subtopic:  Kirchoff's Voltage Law |
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All the cells, shown in the figure below, are of \(2~\text V,\) 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. \(V=2\) volts, positive at \(A.\)
2. \(V=2\) volts, negative at \(A.\)
3. \(V=6\) volts, positive at \(A.\)
4. \(V=6\) volts, 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. \(\dfrac43~\Omega\) 4. \(\dfrac{10}3~\Omega\)
Subtopic:  Combination of Resistors |
 75%
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The potential difference \(V_{AB}\) (in volts) is plotted as a function of the resistance \(R.\) The graph is given by:
          
1. 2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 52%
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 The current flowing through the left \(20~\Omega\) resistor is:
              
1. \(1~\text A\)  2. \(0.5~\text A\) 
3. \(2.5~\text A\)  4. \(3~\text A\) 
Subtopic:  Kirchoff's Voltage Law |
 58%
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A \(20~\text V\) cell delivers the same power to a \(2~\Omega\) resistor as it does to an \(8~\Omega\) resistor. The internal resistance of the cell is:
1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(1.6~\Omega\)
Subtopic:  Heating Effects of Current |
 55%
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Two cells having emfs \(3\) V and \(2\) V are connected in parallel and they give an emf of \(0.5\) V in the same sense as \(3\)\(-\) cell. The internal resistances of the cells are \(r_1\) and \(r_2\) respectively. If one cell is reversed, their combined emf becomes \(2.5\) V. The ratio of their internal resistances \(\Big(\dfrac{r_1}{r_2}\Big) \) is:
1. \(1\)
2. \(\dfrac12\)
3. \(\dfrac21\)
4. \(\sqrt2\)
Subtopic:  Grouping of Cells |
 67%
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In the Wheatstone Bridge arrangement shown, the resistance \(P\) is \(2~ \Omega.\) The bridge is initially balanced. If P and Q are interchanged: an amount equal to \(S\) has to be added to \(R\) to restore the balance. The resistance \(Q\) equals (nearly): 
                       
1. \(2 ~\Omega\)
2. \(3.2 ~\Omega\)
3. \(4 ~\Omega\)
4. \(6.4 ~\Omega\)
Subtopic:  Wheatstone Bridge |
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