A potential divider is used to give outputs of 2 V and 3 V from a 5 V source, as shown in the figure.

Which combination of resistances, from the ones given below, ${\mathrm{R}}_1,$ ${\mathrm{R}}_2,$ $\mathrm{and}$ ${\mathrm{R}}_3$ give the correct voltages?

1.	\(\mathrm{R}_1=1 \mathrm{k} \Omega, \mathrm{R}_2=1 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\)
2.	\(\mathrm{R}_1=2 \mathrm{k} \Omega, \mathrm{R}_2=1 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\)
3.	\(\mathrm{R}_1=1 \mathrm{k} \Omega, \mathrm{R}_2=2 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\)
4.	\(\mathrm{R}_1=3 \mathrm{k} \Omega, \mathrm{R}_2=2 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\)

Three voltmeters are connected as shown.

A potential difference is applied between A and B. On closing the switch S, readings of voltmeter (s):

For the given circuit, the value of the resistance in which the maximum heat is produced is:
          
1. 2 $\Omega$

2. 6 $\Omega$ 

3. 4 $\Omega$

4. 12 $\Omega$

When a 100 W, 240 V bulb is operated at 200 volt, the current in it is:

1. 0.35 A

2. 0.42 A

3. 0.50 A

4. 0.58 A

A charged particle having drift velocity of \(7.5\times10^{-4}~\text{ms}^{-1}\) in an electric field of \(3\times10^{-10}~\text{Vm}^{-1}\), has mobility of: 
1. \(2.5\times 10^{6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
2. \(2.5\times 10^{-6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
3. \(2.25\times 10^{-15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
4. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

A 50 kW dc generator produces a potential difference of 250 V. If the resistance of the transmission line is 1 $\Omega$, what percentage of the original power is lost during transmission?

1.  80%

2.  40%

3.  20%

4.  10%

A current of 2 A is to be sent through a resistor of \(5 ~\Omega.\) Number of cells required in series, if each has emf 2 V and internal resistance 0.5 $\mathrm{\Omega }$, are:
1. 40
2. 30
3. 20
4. 10

Two batteries, one of emf 18V and internal resistance 2 $\mathrm{\Omega }$ and the other of emf 12 V and internal resistance 1 $\mathrm{\Omega ,}$ are connected as shown. Reading of the voltmeter is:
(if voltmeter is ideal)

1.  14 V

2.  15 V

3.  18 V

4.  30 V

Current through the \(2~\Omega\)$$ resistance in the electrical network shown is:

The dependence of resistivity \((\rho)\) on the temperature \((T)\) of a semiconductor is, roughly, represented by:

1.		2.
3.		4.