Two wires \(A\) and \(B\) are made of the same metal and have equal lengths. The diameter of wire \(A\) is half the diameter of wire \(B.\) If the resistance of wire \(A\) is \(48~\Omega,\) the resistance of wire \(B\) will be:
1. \(96~\Omega\) 2. \(192~\Omega\)
3. \(24~\Omega\) 4. \(12~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 65%
Level 2: 60%+
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The potential difference \(V_{AB}\) (in volts) is plotted as a function of the resistance \(R.\) The graph is given by:
          
1. 2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 53%
Level 3: 35%-60%
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Three resistors are connected to a \(20\) V battery with a constant voltage supply. One of the resistors is a variable resistor. The resistance of the variable resistor is gradually increased from \(0~\Omega\) to \(5\) \(\Omega.\)
   

Which graph correctly represents how the current drawn from the battery varies with the resistance \((R)\) of the variable resistor?

1. 2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 58%
Level 3: 35%-60%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R): 
 
Assertion (A): Resistance of a  conducting metallic wire depends on the voltage applied across it and current passing through it.
Reason (R): Ohm's law is also valid for semiconductors.

In the light of the above statements choose the correct answer from the options given below:
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Derivation of Ohm's Law |
 59%
Level 3: 35%-60%
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