Two resistors of resistance, \(100\) \(\Omega\) and \(200\) \(\Omega\) are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in \(100\) \(\Omega\) resistor to that in \(200\) \(\Omega\) resistor in a given time is:
1. \(4:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)

Subtopic:  Heating Effects of Current |
 69%
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A copper wire of length \(10\) m and radius \(\left({10^{-2}/\sqrt{\pi}}\right)\) m has an electrical resistance of \(10~\Omega.\) The current density in the wire for an electric field strength of \(10\) (V/m) is: 
1. \(10^{5}\) A/m2
2. \(10^{4}\) A/m2
3. \(10^{6}\) A/m2
4. \(10^{-5}\) A/m2
Subtopic:  Current & Current Density |
 66%
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A Wheatstone bridge is used to determine the value of unknown resistance \(\mathrm{X}\) by adjusting the variable resistance \(\mathrm{Y}\) as shown in the figure. For the most precise measurement of \(\mathrm{X}\), the resistances \(\mathrm{P}\) and \(\mathrm{Q}\):
             
 
1. do not play any significant role.
2. should be approximately equal to \(2\mathrm{X}\).
3. should be approximately equal and are small.
4. should be very large and unequal.
Subtopic:  Wheatstone Bridge |
 74%
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The plot of current \(I~\text{(A)}\) flowing through a metallic conductor versus the applied voltage \(V~\text{(volt)}\) across the ends of a conductor is:

1.   2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 79%
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A network of resistors is connected across a \(10~\text{V}\) battery with an internal resistance of \(1~\Omega\) as shown in the circuit diagram. The equivalent resistance of the circuit is:
         
1.  \(\frac{17}{3}~\Omega\)
2.  \(\frac{14}{3}~\Omega\)
3.  \(\frac{12}{7}~\Omega\)
4.  \(\frac{14}{7}~\Omega\)

Subtopic:  Combination of Resistors |
 73%
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The value of resistance for the colour code of the given resistor is:
    
1.  \((36\pm36)~k\Omega~\)
2.  \((470\pm47)~k\Omega~\)
3.  \((360\pm36)~k\Omega~\)
4.  \((360\pm18)~k\Omega~\)

Subtopic:  Colour Coding of Resistors (OLD NCERT) |
 56%
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In a meter bridge experiment, the null point is at a distance of \(30~\text{cm}\) from \(\mathrm{A}\). If a resistance of \(16~\Omega\) is connected in parallel with resistance \(Y\), the null point occurs at \(50~\text{cm}\) from \(\mathrm{A}\). The value of the resistance \(Y\) is:
   
1. \(\frac{112}{3}~\Omega\)
2.  \(\frac{40}{3}~\Omega\)
3.  \(\frac{64}{3}~\Omega\)
4.  \(\frac{48}{3}~\Omega\)

Subtopic:  Meter Bridge & Potentiometer |
 67%
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A cell of emf  \(4~\text{V}\) and internal resistance \(0.5~\Omega\) is connected to a \(7.5~\Omega\) external resistance. The terminal potential difference of the cell is:
1. \(3.75~\text{V}\) 2. \(4.25~\text{V}\)
3. \(4~\text{V}\) 4. \(0.375~\text{V}\)
Subtopic:  EMF & Terminal Voltage |
 71%
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The equivalent resistance of the infinite network given below is:
            
1. \(2~\Omega\)
2. \((1+\sqrt2)~\Omega\)
3. \((1+\sqrt3)~\Omega\)
4. \((1+\sqrt5)~\Omega\)
Subtopic:  Combination of Resistors |
 52%
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The reciprocal of resistance is:
1. reactance 2. mobility
3. conductivity 4. conductance
Subtopic:  Derivation of Ohm's Law |
 79%
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