A cell can be balanced against 110cm and 100 cm of potentiometer wire, respectively with and without being short-circuited through a resistance of $10 \Omega$. Its internal resistance is 

(1) 1.0 $\Omega$

(2) 0.5 $\Omega$

(3) 2.0 $\Omega$

(4) zero 

In the circuit shown, the current through the 4 $\Omega$resistor is 1 A when the points P and M are connected to a DC voltage source. The potential difference  between the points M and N is 

1. 1.5 V 

2. 1.0 V

3. 0.5 V 

4. 3.2 V

A milliammeter of range 10 mA and resistance 9$\Omega$ is joined in a circuit as shown in Fig. 6.57. The meter gives full-scale deflection for current I when A and C are used as its terminals if current enter at A and leaves at C (B is left isolated). The value of I is :

(1)100 mA

(2) 900 mA

(3) 1 A

(4) 1.1 A

A candidate connects a moving coil voltmeter V, a moving coil ammeter A, and a resistor R as shown in Fig. 6.58. If the voltmeter reads 20 V and the ammeter reads 4 A, R is 

(1) equal to 5 $\Omega$

(2) greater than 5 $\Omega$

(3) less than 5 $\Omega$

(4) greater or less than 5 $\Omega$ depending upon its material.

A voltmeter has a resistance of G ohm and range V volts. The value of resistance used in series to convert it into a voltmeter of range nV volts is :

(1) nG

(2) (n-1)G

(3) G/n

(4) G/(n-1)

A galvanometer has a resistance of 3663 $\Omega$. A shunt S is connected across it such that 1/34 of the total current passes through the galvanometer. The value of the shunt is :

(1) 3663 $\Omega$

(2) 111 $\Omega$

(3) 107.7 $\Omega$

(4) 3555.3 $\Omega$

As in figure shown, if a capacitor C is charged by connecting it with resistance R, then energy  given by the battery will be 

(1) $\frac{1}{2}C{V}^2$

(2) More than $\frac{1}{2}C{V}^2$

(3) Less than $\frac{1}{2}C{V}^2$

(4) Zero

A capacitor of capacitance 5 μF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plate is 

(1) 0 μC

(2) 5 μC

(3) 10 μC

(4) 25 μC

An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature ${20}^{°}$C? The temperature of boiling water is ${100}^{°}$C

(a) 6.3 min

(b) 8.4 min

(c) 12.6 min

(d) 4.2 min

A wire of a certain material is streched slowly by ten per cent. Its new resistance and specific resistance become respectively 

(1) 1.2 times, 1.1 times

(2) 1.21 times,same 

(3) both remain the same

(4) 1.1 times, 1.1 times