Two batteries of emf \(\varepsilon_ 1, \varepsilon_ 2\) and internal resistance \(r_1, r_2\) are connected in parallel as shown in figure. The effective emf of the circuit across A and B is: 
 


1.  \({\varepsilon_1 r_1 + \varepsilon_2 r_2 \over r_1 + r_2 }\)

2.  \({\varepsilon_1 r_2 + \varepsilon_2 r_1 \over r_1 + r_2 }\)

3.  \({\varepsilon_1 r_2 + \varepsilon_2 r_2 \over r_1 \times r_2 }\)

4.  \({\varepsilon_1 r_1 + \varepsilon_2 r_2 \over r_1 - r_2 }\)

Subtopic:  Grouping of Cells |
 71%
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In the circuit shown in  figure if power dissipated in 9Ω resistor is 144W, then potential difference across 3.6Ω resistor will be

1.  36V

2.  18V

3.  9V

4.  Zero

Subtopic:  Heating Effects of Current |
 64%
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The current \(I\) as shown in the circuit will be:

1. \(10~\text{A}\) 2. \(\dfrac{20}{3}~\text{A}\)
3. \(\dfrac{2}{3}~\text{A}\) 4. \(\dfrac{5}{3}~\text{A}\)
Subtopic:  Combination of Resistors |
 61%
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A meter bridge is set up to determine unknown resistance \(x\) using a standard \(10~\Omega\) resistor. The galvanometer shows the null point when the tapping key is at a \(52\) cm mark. End corrections are \(1\) cm and \(2\) cm respectively for end \(A\) and \(B\). Then the value of \(x\) is:

      
1. \(10.2~\Omega\)
2. \(10.6~\Omega\)
3. \(10.8~\Omega\)
4. \(11.1~\Omega\)

Subtopic:  Meter Bridge & Potentiometer |
 52%
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If a resistance coil is made by joining in parallel two resistances each of 20Ω. An emf of 2V is applied across this coil for 100 seconds. The heat produced in the coil is

1. 20 J

2. 10 J

3. 40 J

4. 80 J

Subtopic:  Heating Effects of Current |
 67%
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When a piece of aluminum wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become :

1. Two times

2. Four times

3. Eight times

4. Sixteen times

Subtopic:  Derivation of Ohm's Law |
From NCERT
AIIMS - 2002
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Masses of 3 wires of same metal are in the ratio 1 : 2 : 3 and their lengths are in the ratio 3 : 2 : 1. The electrical resistances are in ratio

1. 1 : 4 : 9

2. 9 : 4 : 1

3. 1 : 2 : 3

4. 27 : 6 : 1

Subtopic:  Derivation of Ohm's Law |
 67%
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PMT - 2002
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A copper wire has a square cross-section, 2.0 mm on a side. It carries a current of 8 A and the density of free electrons is 8 × 1028 m–3. The drift speed of electrons is equal to 

1. 0.156 × 10–3 m.s–1

2. 0.156 × 10–2 m.s–1

3. 3.12 × 10–3 m.s–1

4. 3.12 × 10–2 m.s–1

Subtopic:  Current & Current Density |
 60%
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Express which of the following setups can be used to verify Ohm’s law 

1.  
2.
3.
4.
Subtopic:  Derivation of Ohm's Law |
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The reading of the ammeter as per figure shown is

1. 18A

2. 34A

3. 12A

4. 2 A

Subtopic:  Combination of Resistors |
 72%
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