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1.    

2. In a Wheatstone bridge, all four arms have equal resistance \(R.\) If the equivalent resistance of the combination as seen by the battery is \(R,\) the resistance of the galvanometer arm is:
1. \(R\)
2. \(2R\)
3. \(\dfrac{R}{2}\)
4. can be any value

3. The total resistance between the terminal \(A\) and \(B\) is: 
     
1. \(90~\Omega\)
2. \(60~\Omega\)
3. \(30~\Omega\)
4. \(20~\Omega\)

4.

The given circuit shows a uniform straight wire \(AB\) of \(40 ~\text{cm}\) length fixed at both ends. In order to get zero reading in the galvanometer \(G,\) the free end of \(J\) is to be placed from the end \(B\) at:

         

1.	\(32~\text{cm}\)	2.	\(8~\text{cm}\)
3.	\(16~\text{cm}\)	4.	\(24~\text{cm}\)

5. Two identical resistances are joined in parallel to form a composite resistance. If one of the resistances decreases by \(2\%,\) the equivalent resistance of the pair:
1. decreases by \(2\%\)
2. decreases by \(1\%\)
3. increases by \(2\%\)
4. increases by \(1\%\)

6. The resistance between \(A\) & \(B,\) of the infinite network shown in the figure, is \(2~\Omega.\) This network is now continued in both directions, to the left as well as the right. What is the resistance of the new network measured across a \(2~\Omega\) resistor?
                              
 

1.	\(1~\Omega\)	2.	\(\dfrac12~\Omega\)
3.	\(\dfrac23~\Omega\)	4.	\(\dfrac13~\Omega\)

7.

In the circuit shown in the figure below, the current supplied by the battery is:
 
1. \(2~\text A\) 
2. \(1~\text A\) 
3. \(0.5~\text A\) 
4. \(0.4~\text A\) 

8. A Wheatstone bridge is used to determine the value of unknown resistance \(X\) by adjusting the variable resistance \(Y\) as shown in the figure. For the most precise measurement of \(X\), the resistances \(P\) and \(Q\):

1.	do not play any significant role.
2.	should be approximately equal to \(2X\).
3.	should be approximately equal and are small.
4.	should be very large and unequal.

9. A wire of length \('l'\) and resistance \(100 ~\Omega\) is divided into \(10\) equal parts. The first \(5\) parts are connected in series while the next \(5\) parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:

1.	\(52~ \Omega\)	2.	\(55~ \Omega\)
3.	\(60 ~\Omega\)	4.	\(26~ \Omega\)

10. Choose the correct circuit which can achieve the bridge balance :

1.		2.
3.		4.

11. The value of \(R\) in the given circuit when there is no current in the \(5 ~\Omega\) resistor is:
 

1.	\(12~\Omega\)	2.	\(9~ \Omega\)
3.	\(3~ \Omega\)	4.	\(2~ \Omega\)

12. The equivalent resistance \(R_{AB}\) between points \(A\) and \(B\) in the given network is:

1.	\(1R\)	2.	\({\dfrac35}R\)
3.	\({\dfrac78}R\)	4.	\({\dfrac58}R\)

13.

Which of the following graph represents the variation of resistivity ($\rho$) with temperature (\(T\)) for copper?

1.		2.
3.		4.

14.

The equivalent resistance between \(A\) and \(B\) for the mesh shown in the figure is:
 

1.	\(7.2~\Omega\)	2.	\(16~\Omega\)
3.	\(30~\Omega\)	4.	\(4.8~\Omega\)

15.

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section, and same material is \(0.25~\Omega\). What will be the effective resistance if they are connected in series?
1. \(1~\Omega\) 
2. \(4~\Omega\)
3. \(0.25~\Omega\)
4. \(0.5~\Omega\)

16.

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.	\(\dfrac{17}{3}~\Omega\)	2.	\(\dfrac{14}{3}~\Omega\)
3.	\(\dfrac{12}{7}~\Omega\)	4.	\(\dfrac{14}{7}~\Omega\)

17. The equivalent resistance of the infinite network given below is:
            
1. \(2~\Omega\)
2. \((1+\sqrt2)~\Omega\)
3. \((1+\sqrt3)~\Omega\)
4. \((1+\sqrt5)~\Omega\)

18. \(10\) resistors, each of resistance \(R\) are connected in series to a battery of \(E\) and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased \(n\) times. The value of \(n\) is: 
1. \(1000\)
2. \(10\)
3. \(100\)
4. \(1\)

19. A \(12\) cm wire is given a shape of a right-angled triangle \(\mathrm{ABC}\) having sides \(3\) cm, \(4\) cm and \(5\) cm, as shown in the figure. The resistance between two ends \((\mathrm{AB, BC, CA})\) of the respective sides are measured one by one by a multi-meter. The resistances will be in the ratio:
         
1. \(9:16:25\)
2. \(27:32:35\)
3. \(21:24:25\)
4. \(3:4:5\)

20.

A circuit contains an ammeter, a battery of \(30~\text{V},\) and a resistance \(40.8~\Omega\)$$ all connected in series. If the ammeter has a coil of resistance \(480~\Omega\)$$ and a shunt of \(20~\Omega,\)$$ then the reading in the ammeter will be:
1. \(0.5~\text{A}\)
2. \(0.02~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)