For the circuit shown in the figure, the current \(I\) will be:

 

1. \(0.75~\text{A}\) 2. \(1~\text{A}\)
3. \(1.5~\text{A}\) 4. \(0.5~\text{A}\)

Subtopic:  Grouping of Cells |
 83%
Level 1: 80%+
NEET - 2020
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Two batteries, one of emf \(18\) volts and internal resistance \(2~\Omega\) and the other of emf \(12\) V and internal resistance \(1~\Omega,\) are connected as shown. The voltmeter \(\mathrm{V}\) will record a reading of: 

        

1. \(18\) V
2. \(30\) V
3. \(14\) V
4. \(15\) V

Subtopic:  Grouping of Cells |
 76%
Level 2: 60%+
AIPMT - 2005
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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, and Statement II is False.
4. Statement I is False, and Statement II is True.
Subtopic:  Kirchoff's Current Law |
 54%
Level 3: 35%-60%
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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 |
 75%
Level 2: 60%+
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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 |
 56%
Level 3: 35%-60%
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A charged particle having drift velocity of \(7.5\times10^{-4}~\text{ms}^{-1}\) in an electric field of \(3\times10^{-10}~\text{Vm}^{-1},\) has mobility of: 
1. \(2.5\times 10^{6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
2. \(2.5\times 10^{-6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
3. \(2.25\times 10^{-15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
4. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

Subtopic:  Current & Current Density |
 83%
Level 1: 80%+
NEET - 2020
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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 |
Level 4: Below 35%
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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 |
 57%
Level 3: 35%-60%
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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. \(\dfrac31\) 2. \(\dfrac21\)
3. \(\dfrac11\) 4. \(\dfrac53\)
Subtopic:  Kirchoff's Current Law |
Level 3: 35%-60%
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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 |
Level 3: 35%-60%
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