The current in a wire varies with time according to the equation \(I=(4+2t),\) where \(I\) is in ampere and \(t\) is in seconds. The quantity of charge which has passed through a cross-section of the wire during the time \(t=2\) s to \(t=6\) s will be:

1. \(60\) C  2. \(24\) C
3. \(48\) 4. \(30\) C

Subtopic:  Current & Current Density |
 83%
From NCERT
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The Wheatstone bridge shown in the figure below is balanced when the uniform slide wire \(AB\) is divided as shown. Value of the resistance \(X\) is:
        

1. \(3~\Omega\)
2. \(4~\Omega\)
3. \(2~\Omega\)
4. \(7~\Omega\)

Subtopic:  Meter Bridge & Potentiometer |
 88%
From NCERT
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The total power dissipated in watts in the circuit shown below is:

1. \(16\) W 2. \(40\) W
3. \(54\) W 4. \(4\) W
Subtopic:  Heating Effects of Current |
 87%
From NCERT
AIPMT - 2007
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A student measures the terminal potential difference \(V\) of a cell (of emf \( E\) and internal resistance \(R\)) as a function of the current \(I\) flowing through it. The slope and intercept of the graph between \(V\) and \(I\), respectively, is equal to:
1. \(E\) and \(-r\)
2. \(-r\) and \(E\)
3. \(r\) and \(-E\)
4. \(-E\) and \(r\)
Subtopic:  EMF & Terminal Voltage |
 69%
From NCERT
AIPMT - 2009
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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 |
 65%
From NCERT
AIPMT - 2009
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Given below two statements:
Statement I: Kirchhoff’s junction law follows the conservation of charge. 
Statement II: Kirchhoff’s loop law follows the conservation of energy.
1. Both Statement I and Statement II are incorrect.
2. Statement I is correct but Statement II is incorrect.
3. Statement I is incorrect and Statement II is correct.
4. Both Statement I and Statement II are correct.
Subtopic:  Kirchoff's Voltage Law |
 82%
From NCERT
AIPMT - 2010
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If the voltage across a bulb rated \((220~\text{V}\text-100~\text{W})\) drops by \(2.5\%\) of its rated value, the percentage of the rated value by which the power would decrease is:
1. \(20\%\)
2. \(2.5\%\)
3. \(5\%\)
4. \(10\%\)

Subtopic:  Heating Effects of Current |
 77%
From NCERT
AIPMT - 2012
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The resistances of the four arms \(P,Q,R~\text{and}~S\) in a Wheatstone’s bridge are \(10~\Omega,30~\Omega,30~\Omega\) and \(90~\Omega\) respectively. The emf and internal resistance of the cell are \(7~\text{volt}\) and \(5~\Omega\) respectively. If the galvanometer resistance is \(50~\Omega\) the current drawn from the cell will be:
1. \(0.2~\text{A}\)
2. \(0.1~\text{A}\)
3. \(2.0~\text{A}\)
4. \(1.0~\text{A}\)
 
 
Subtopic:  Wheatstone Bridge |
 76%
From NCERT
AIPMT - 2013
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A potentiometer wire of length \(L\) and a resistance \(r\) are connected in series with a battery of EMF \(E_{0 }\) and resistance \(r_{1}\). An unknown EMF is balanced at a length l of the potentiometer wire. The EMF \(E\) will be given by:
1. \(\frac{L E_{0} r}{l r_{1}}\)
2. \(\frac{E_{0} r}{\left(\right. r + r_{1} \left.\right)} \cdot \frac{l}{L}\)
3. \(\frac{E_{0} l}{L}\)
4. \(\frac{L E_{0} r}{\left(\right. r + r_{1} \left.\right) l}\)

Subtopic:  Meter Bridge & Potentiometer |
 76%
From NCERT
NEET - 2015
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The charge flowing through a resistance \(R\) varies with time \(t\) as \(Q=at-bt^2,\) where \(a\) and \(b\) are positive constants. The total heat produced in \(R\) is:
1. \(\dfrac{a^3R}{3b}\) 2. \(\dfrac{a^3R}{2b}\)
3. \(\dfrac{a^3R}{b}\) 4. \(\dfrac{a^3R}{6b}\)
Subtopic:  Heating Effects of Current |
 56%
From NCERT
NEET - 2016
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