All the resistances to the left of the vertical line $PQ$ are $1~\Omega$ , while those on the right of line $PQ$ are $2~\Omega$ as shown in the figure above. The equivalent resistance between $A$ and $B$ is:

1. $18~\Omega$ 2. $9~\Omega$

3. $4.5~\Omega$ 4. $2.25~\Omega$

Subtopic: Combination of Resistors |

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Q14:

Given below are two statements:

Assertion (A):	In the Wheatstone Bridge shown in the figure, if the resistances in opposite arms are switched (i.e. $Q, R$ are exchanged) then the bridge remains balanced if it was initially balanced.
Reason (R):	The balance condition $\dfrac P Q$ = $\dfrac R S$ is not affected if resistances in opposite arms are switched.

1.	(A) is True but (R) is False.
2.	(A) is False but (R) is True.
3.	Both (A) and (R) are True and (R) is a correct explanation of (A).
4.	Both (A) and (R) are True but (R) is not a correct explanation of (A).

Subtopic: Wheatstone Bridge |

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Q15:

For what value of

R

$R$ will the power supplied by the battery (EMF =

8 V

$8~\text{V}$ , internal resistance =

5 Ω

$5~\Omega$ ) to the resistance

$R$ will be a maximum?

1.

$5~\Omega$
2.

$4~\Omega$
3.

$2~\Omega$
4.

$8~\Omega$

Subtopic: Heating Effects of Current |

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Q16:

The two switches

$S_1,S_2$ are switched on simultaneously. The current through the cell

$E_{1}$ is, initially,

1.	$\dfrac{E_{1}}{R}$	2.	$\dfrac{E_{2}}{R}$
3.	$\dfrac{E_1 - E_2}{R}$	4.	$\dfrac{E_1 - E_2}{2R}$

Subtopic: Kirchoff's Voltage Law |

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Q17:

The current passing through a certain device doubles when the temperature rises by

$10^{\circ}\text{C}$ , in the temperature range from

$0^{\circ}\text{C}$ to

$500^{\circ}\text{C}$ . This effect is used to measure the temperature of a sample. The current is measured to be

$5~\text{mA}$ at

$15^{\circ}\text{C}$ and then the next measurement shows a current of

$50~\text{mA}$ . The temperature of the new measurement is nearly: (take

$\text{log}_{10}2 \simeq 0.3$ , if required)
1.

$150^{\circ}\text{C}$
2.

$50^{\circ}\text{C}$
3.

$450^{\circ}\text{C}$
4.

$25^{\circ}\text{C}$

Subtopic: Derivation of Ohm's Law |

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Q18:

All the resistances in circuit are

$2~\Omega$ each,

$E_1=4~\text{V}$ and

$E_2=1~\text{V}$ . The potential difference between

$C$ and

$D$ (i.e.

$V_{C}-V_{D}$ ) is:

1.	$1.5~\text{V}$	2.	$-1.5~\text{V}$
3.	$1.2~\text{V}$	4.	$-1.2~\text{V}$

Subtopic: Kirchoff's Voltage Law |

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Q19:

A cell is connected between

$A$ and

$B$ and it is observed that

$V_{C}=V_{D}$ while the corresponding ammeter current is also noted. When the cell (between

$A$ and

$B$ ) is disconnected, and ends

$B$ and

$C$ are connected: the current through an ammeter

$A$ is found to have the same magnitude (but in opposite direction). Then, the resistance

$R$ is:

1.	equals $400~\Omega.$
2.	equals $200~\Omega.$
3.	can have any value less than $400~\Omega.$
4.	cannot be determined from the given information.

Subtopic: Kirchoff's Voltage Law |

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Q20:

All the cells, shown in the figure below, are of

$2~\text V,$ and all the resistances are

$1~\Omega.$ When a potential difference

$V$ is applied between

$A$ and

$B,$ the current through the circuit doubles compared to the situation when the potential difference is made zero. Then;

1.	$V=2$ volts, positive at $A.$
2.	$V=2$ volts, negative at $A.$
3.	$V=6$ volts, positive at $A.$
4.	$V=6$ volts, negative at $A.$

Subtopic: Kirchoff's Voltage Law |

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Q21:

All the resistances in the circuit shown below are

$2~\Omega.$ The equivalent resistance between

$A$ and

$C$ is:

1.	$4~\Omega$	2.	$2~\Omega$
3.	$\dfrac43~\Omega$	4.	$\dfrac{10}3~\Omega$

Subtopic: Combination of Resistors |

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Q22:

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 |

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All the resistances to the left of the vertical line $PQ$ are $1~\Omega$ , while those on the right of line $PQ$ are $2~\Omega$ as shown in the figure above. The equivalent resistance between $A$ and $B$ is:

1. $18~\Omega$ 2. $9~\Omega$

3. $4.5~\Omega$ 4. $2.25~\Omega$

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