The figure given below shows a circuit when resistances in the two arms of the meter bridge are \(5~\Omega\) and \(R\), respectively. When the resistance \(R\) is shunted with equal resistance, the new balance point is at \(1.6l_1\). The resistance \(R\) is:

1. \(10~\Omega\) 2. \(15~\Omega\)
3. \(20~\Omega\) 4. \(25~\Omega\)

Subtopic:  Meter Bridge |
 73%
From NCERT
AIPMT - 2014
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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%
From NCERT
AIPMT - 2013
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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 \(7~\text{V}\) 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 |
 78%
From NCERT
AIPMT - 2013
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In the circuit shown cells, \(A\) and \(B\) have negligible resistance. For \(V_A =12 ~\text{V},\) \(R_1 = 500 ~\Omega ,\) and \(R = 100 ~\Omega ,\) the galvanometer \((\text{G}) \) shows no deflection. The value of \(V_B\) is: 
     

1. \(4~\text V\) 
2. \(2~\text V\) 
3. \(12~\text V\) 
4. \(6~\text V\) 

Subtopic:  Kirchoff's Voltage Law |
 76%
From NCERT
AIPMT - 2012
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If power dissipated in the \(9~\Omega\) resistor in the circuit shown is \(36\) W, the potential difference across the \(2~\Omega\) resistor will be:

            

1. \(8\) V
2. \(10\) V
3. \(2\) V
4. \(4\) V

Subtopic:  Heating Effects of Current |
 79%
From NCERT
AIPMT - 2011
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A current of \(2~\text{A}\) flows through a \(2~\Omega\) resistor when connected across a battery. The same battery supplies a current of \(0.5~\text{A}\) when connected across a \(9~\Omega\) resistor. The internal resistance of the battery is:

1. \(\dfrac{1}{3}~\Omega\) 2. \(\dfrac{1}{4}~\Omega\)
3. \(1~\Omega\) 4. \(0.5~\Omega\)
Subtopic:  EMF & Terminal Voltage |
 79%
From NCERT
AIPMT - 2011
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The rate of increase of thermo-emf with the temperature at the neutral temperature of a thermocouple:
 
1. is zero.
2. depends upon the choice of the two materials of the thermocouple.
3. is negative.
4. is positive.
Subtopic:  Heating Effects of Current |
AIPMT - 2011
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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 |
 66%
From NCERT
AIPMT - 2009
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See the electrical circuit shown in this figure. Which of the following is a correct equation for it?
                

1. \(\varepsilon_1-(i_1+i_2)R-i_1r_1=0\)
2. \(\varepsilon_2-i_2r_2-\varepsilon_1-i_1r_1=0\)
3. \(-\varepsilon_2-(i_1+i_2)R+i_2r_2=0\)
4. \(\varepsilon_1-(i_1+i_2)R+i_1r_1=0\)

Subtopic:  Kirchoff's Voltage Law |
 72%
From NCERT
AIPMT - 2009
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A current of \(3~\text{A}\) flows through the \(2~\Omega\) resistor shown in the circuit. The power dissipated in the \(5~\Omega\) resistor is:
    

1. \(4~\text{W}\) 2. \(2~\text{W}\)
3. \(1~\text{W}\) 4. \(5~\text{W}\)
Subtopic:  Heating Effects of Current |
 81%
From NCERT
AIPMT - 2008
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