A \(12\) cm wire is given a shape of a right-angled triangle \(\mathrm{ABC}\) having sides \(3\) cm, \(4\) cm and \(5\) cm, as shown in the figure. The resistance between two ends \((\mathrm{AB, BC, CA})\) of the respective sides are measured one by one by a multi-meter. The resistances will be in the ratio:
        
1. \(9:16:25\)
2. \(27:32:35\)
3. \(21:24:25\)
4. \(3:4:5\)
Subtopic:  Combination of Resistors |
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A ring is made of a wire having a resistance of \(R_0=12~\Omega.\). Find points \(\mathrm{A}\) and \(\mathrm{B}\), as shown in the figure, at which a current-carrying conductor should be connected so that the resistance \(R\) of the subcircuit between these points equals \(\frac{8}{3}~\Omega\)?

1. \(\dfrac{l_1}{l_2} = \dfrac{5}{8}\) 2. \(\dfrac{l_1}{l_2} = \dfrac{1}{3}\)
3. \(\dfrac{l_1}{l_2} = \dfrac{3}{8}\) 4. \(\dfrac{l_1}{l_2} = \dfrac{1}{2}\)
Subtopic:  Combination of Resistors |
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A wire of resistance \(12~ \Omega \text{m}^{-1}\) is bent to form a complete circle of radius \(10~\text{cm}\). The resistance between its two diametrically opposite points, \(A\) and \(B\) as shown in the figure, is:

1. \(0.6\pi~\Omega\) 2. \(3\pi ~\Omega\)
3. \(61 \pi~ \Omega\) 4. \(6\pi~\Omega\)
Subtopic:  Combination of Resistors |
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A wire of a certain material is stretched slowly by ten percent, it's new resistance and specific resistance become, respectively:

1. 1.2 times, 1.1 times

2. 1.21 times, same

3. both remain the same

4. 1.1 times, 1.1 times

Subtopic:  Combination of Resistors |
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In the circuit shown, the current through the 4Ω resistors is 1 A when the points P and M are connected to a DC voltage source. The potential difference between the points M and N is:

            

1.  1.5 V

2.  1.0 V

3.  0.5 V

4.  3.2 V

Subtopic:  Combination of Resistors | EMF & Terminal Voltage |
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