Two metal wires of identical dimensions are connected in series. If \(\sigma_1~\text{and}~\sigma_2\) are the conductivities of the metal wires respectively, the effective conductivity of the combination is:

1. \(\frac{2\sigma_1 \sigma_2}{\sigma_1+\sigma_2}\) 2. \(\frac{\sigma_1 +\sigma_2}{2\sigma_1\sigma_2}\)
3. \(\frac{\sigma_1 +\sigma_2}{\sigma_1\sigma_2}\) 4. \(\frac{\sigma_1 \sigma_2}{\sigma_1+\sigma_2}\)

Subtopic:  Derivation of Ohm's Law |
 64%
Level 2: 60%+
NEET - 2015
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A circuit contains an ammeter, a battery of \(30~\text{V},\) and a resistance \(40.8~\Omega\) all connected in series. If the ammeter has a coil of resistance \(480~\Omega\) and a shunt of \(20~\Omega,\) then the reading in the ammeter will be:
1. \(0.5~\text{A}\)
2. \(0.02~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)

Subtopic:  Derivation of Ohm's Law |
 63%
Level 2: 60%+
NEET - 2015
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A wire of resistance \(4~\Omega\) is stretched to twice its original length. The resistance of a stretched wire would be:
1. \(4~\Omega\)
2. \(8~\Omega\)
3. \(16~\Omega\)
4. \(2~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 84%
Level 1: 80%+
AIPMT - 2013
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Two rods of equal length \(1~\text{m}\) and equal cross-sectional area \(0.01~\text{cm}^2\) are joined in series, as shown. One rod is copper with resistivity \(1.7\times10^{-6}~\Omega\text{-cm},\) and the other is iron with resistivity \(10^{-5}~\Omega\text-\text{cm}.\) What voltage must be applied across the combination to maintain a current of \(1~\text A\) in the circuit?
1. \(0.00145~\text V\) 2. \(0.0145~\text V\)
3. \(1.7\times10^{-6}~\text V\) 4. \(0.117~\text V\)
Subtopic:  Derivation of Ohm's Law |
 64%
Level 2: 60%+
NEET - 2013
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