A battery of \(6\) V is connected to the circuit as shown below. The current \(i\) drawn from the battery is:
              
1. \(1\) A
2. \(2\)
3. \(\frac{6}{11}~\text{A}\)
4. \(\frac{4}{3}~\text{A}\)

Subtopic:  Wheatstone Bridge |
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Level 1: 80%+
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Two identical cells, each having EMF \(E,\) are connected in series to an external resistance \(R.\) The internal resistances of the cells are \(r_1\)​ and \(r_2,\) with \(r_1>r_2.\) If the potential difference across the cell of internal resistance \(r_1\)​ is zero, then the value of \(R\) is:
1. \((r_{1}-r_{2} )\) 2. \(\dfrac{{r}_{1} r_{2}}{({r}_{1}+r_{2})} \)
3. \(\dfrac{({r}_{1}+r_{2})}{2} \) 4. \(({r}_{2}-{r}_{1})\)
Subtopic:  EMF & Terminal Voltage |
 65%
Level 2: 60%+
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In a meter bridge experiment, the null point is observed at a distance of \(30~\text{cm}\) from the left end (point \(D\)) when the known resistance \(R=5.6~\text{k}\Omega\) is connected. What is the value of the unknown resistance \(S\)?
1. \(24~\Omega\) 2. \(2400~\Omega\)
3. \(120~\Omega\) 4. \(3600~\Omega\)
Subtopic:  Meter Bridge |
 87%
Level 1: 80%+
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A \(1\) m long copper wire carries a current of \(1\) A. If the cross-section of the wire is \(2.0\) mm2 and the resistivity of copper is
\(1.7\times10^{-8}~\Omega\) m, the force experienced by a moving electron in the wire is:
(charge on electron = \(1.6\times 10^{-19}\) C)
1. \(112\times 10^{-23}\) N
2. \(240\times10^{-23}\) N
3. \(136\times 10^{-23}\) N
4. \(321\times 10^{-23}\) N
Subtopic:  Current & Current Density |
 72%
Level 2: 60%+
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Consider the following statements regarding the drift velocity of electrons in a conductor:
(A) The drift velocity of electrons decreases with an increase in the temperature of the conductor.
(B) The drift velocity is inversely proportional to the cross-sectional area of the conductor.
(C) The drift velocity is independent of the applied potential difference across the conductor.
(D) The drift velocity is inversely proportional to the length of the conductor.
(E) The drift velocity increases with an increase in the temperature of the conductor.

Choose the correct answer from the options given below:
1. (A) and (B) only
2. (A) and (D) only
3. (B) and (E) only
4. (B) and (C) only
Subtopic:  Current & Current Density |
Level 4: Below 35%
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In the given figure of the meter bridge experiment, the balancing length \(AC\) corresponding to the null deflection of the galvanometer is \(40\) cm. The balancing length, if the radius of the wire \(AB\) is doubled, will be:
             
1. \(20\) cm
2. \(30\) cm
3. \(40\) cm
4. \(60\) cm
Subtopic:  Meter Bridge |
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Level 2: 60%+
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As shown in the figure, in a steady state, the charge stored in the capacitor is \(x \times 10^{-6}\) C. The value of \(x \) is:
            
1. 20
2. 10
3. 30
4. 40
 74%
Level 2: 60%+
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A wire of resistance \(R_1\) is drawn out so that its length is increased by twice its original length. The ratio of new resistance to original resistance is:
1. \(9:1\)
2. \(1:9\)
3. \(4:1\)
4. \(3:1\)
Subtopic:  Derivation of Ohm's Law |
Level 3: 35%-60%
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Given below are two statements:
Statement I: A uniform wire of resistance \(80~\Omega\) is cut into four equal parts. These parts are connected in parallel. The equivalent resistance of the combination is \(5~\Omega.\)
Statement II: Two resistors, \(2R\) and \(3R,\) are connected in parallel across a voltage source. The thermal energy developed in \(3R\) and \(2R\) is in the ratio \(3:2.\)
 
1. Both Statement I and Statement II are correct.
2. Both Statement I and Statement II are incorrect.
3. Statement I is correct but Statement II is incorrect.
4. Statement I is incorrect but Statement II is correct.
Subtopic:  Heating Effects of Current |
 66%
Level 2: 60%+
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An electrical bulb rated \(220\) V, \(100\) W, is connected in series with another bulb rated \(220\) V, \(60\) W. If the voltage across the combination is \(220\) V, the power consumed by the \(100\) W bulb will be about:
1. \(10\) W
2. \(20\) W
3. \(14\) W
4. \(50\) W
Subtopic:  Heating Effects of Current |
 55%
Level 3: 35%-60%
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