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If each resistance in the figure is of 9 $\Omega$ then reading of ammeter is

1.  5 A
2.  8 A
3.  2 A
4.  9 A 

In the circuit shown, the point 'B' is earthed. The potential at the point 'A' is

1.  14 V
2.  24 V
3.  26 V
4.  50 V 

In the figure, the value of resistors to be connected between C and D so that the resistance of the entire circuit between A and B does not change with the number of elementary sets used is

1.  R
2.  R$\left(\sqrt{3}-1\right)$
3.  3 R
4.  R$\left(\sqrt{3}+1\right)$

Find the equivalent resistance between the points a and b

1.  2 $\Omega$
2.  4 $\Omega$
3.  8 $\Omega$
4.  16 $\Omega$

In an electrical cable, there is a single wire of radius 9 mm of copper. Its resistance is 5 $\Omega$. the cable is replaced by 6 different insulated copper wires, the radius of each wire is 3mm. Now the total resistance of the  cable will be
1.  7.5 $\Omega$
2.  45 $\Omega$
3.  90 $\Omega$
4.  270 $\Omega$

As the switch S is closed in the circuit shown in figure, current passed through it is

1.  4.5 A
2.  6.0 A
3.  3.0 A
4.  zero 

If each of the resistance of hte network shown in the figure is R, the equivalent resistance between A and B is

1.  5 R
2.  3 R
3.  R
4.  R/2

Consider four circuits shown in the figure below. In which circuit power dissipated is greatest (Neglect the internal resistance of the power supply)
1.  
2.  
3.  
4.  

The n rows each containing m cells in series are joined in parallel. The maximum current is taken fro this combination across an external resistance of 3$\Omega$ resistance. If the total number of cells used are 24 and internal resistance of each cell is 0.5 $\Omega$ then
1.  m = 8, n = 3
2.  m = 6, n = 4
3.  m = 12, n = 2
4.  m = 2, n = 12 

A cell of constant e.m.f first connected to a resistance R₁ and then conncted to a resistance R₂. If power delivered in both cases is then the internet resistance of the cell is 
(1) $\sqrt{R_1{R}_2}$
(2) $\sqrt{\frac{R_1}{R_2}}$
(3)$\frac{R_1-R_2}{2}$ 
(4) $\frac{R_1+R_2}{2}$

In the figure shown, the capacity of the condenser C is 2 $\mu$F. The current is 2$\Omega$ resistor is

(1) 9 A
(2) 0.9 A
(3) $\frac{1}{9} A$
(4) $\frac{1}{0.9}A$

In the circuit shown, the value of each of the resistances is r.  The equivalent resistance of the circuit between terminals A and B will be:
        
1. (4/3)r
2. 3r/2
3. r/3
4. 8r/7

Two cells of equal e.m.f. and of internal resistances $r_1$ and  $r_2(r_1 > r_2)$ are connected in series. On connecting this combination to an exyernal resistance R, it is observed that the potential difference across the first cell becomes zero. The value of R will be 
 $\left(1\right) r_{1 } + r_2$
$\left(2\right) r_1 - r_2$
$\left(3\right) \frac{r_1 + r_2}{2}$
$\left(4\right) \frac{r_1 - r_2}{2}$

The effective resistance between points P and Q of the electrical circuit shown in the figure is

(1) 2 Rr / (R + r)
(2) 8R (R + r) / (3R + r)
(3) 2r + 4 R
(4) 5 R/2 + 2r

A wire of resistor R is bent into a circular ring of radius r. Equivalent resistance between two points X and Y on its circumference, when angle XOY is $\alpha$, can be given by

1. $\frac{\mathrm{R\alpha }}{4{\mathrm{\pi }}^2}(2\pi -\alpha )$
2. $\frac{R}{2\pi }(2\pi -\alpha )$
3. $R(2\pi -\alpha )$
4. $\frac{4\pi }{R\alpha }(2\pi -\alpha )$

In the following circuit a $$10m long potentiometer wire with resistance 1.2 ohm/m, a resistance R1​ and an accumulator of emf 2V are connected in series. When the emf of thermocouple is 2.4​ mV​ then ​the ​deflection ​in galvanometer is zero. The current supplied by the accumulator will be

(1) $4\times {10}^{-4}A$
(2) $8\times {10}^{-4}A$
(3) $4\times {10}^{-3}A$
(4) $8\times {10}^{-3}A$

In the following star circuit diagram (figure), the equivalent resistance between the point A and H will be

1. 1.944r
2. o.973r
3. o.486r
4. o.23r

The V-i graph for a conductor at temperature $T_1$ and $T_2$ are shown in the figure. ( $T_2$ -  $T_1$) is proportional to
                                       
(1) cos 2$\theta$
(2) sin $\theta$
(3) cot 2$\theta$
(4) tan $\theta$
 

A resistance of 4$\Omega$ and a wire of length 5 meters and resistance 5 $\Omega$ are joined in series and connected to cell of e.m.f. 10 V and internal resistance 1$\Omega$. A parallel combination of two identical cells is balanced across 300 cm of the wire. The e.m.f. E of each cell is
                                     
(1) 1.5 V
(2) 3.0 V
(3) 0.67 V
(4) 1.33 V