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

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 $\Omega$

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. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

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.

What is the reading of the voltmeter of resistance 1200 $\Omega$ connected in the following circuit diagram? 

1. 2.5 V

2. 5.0 V

3. 7.5 V

4. 40 V

A coil heating a bucket full of water raises the temperature by 5 $°$C in 2 min. lf the current in the coil is doubled, what will be the change in the temperature of water in 1 min? (Assume no loss of heat to the surroundings)

Power consumed in the given circuit is \(P_1\). On interchanging the position of \(3~\Omega\)$$ and \(12~\Omega\)$$ resistances, the new power consumption is \(P_2\). The ratio of \(\frac{P_2}{P_1}\) is:
     

The figure below shows a network of currents. The current \(i\) will be:

1. \(3~\mathrm{A}\)
2. \(13~\mathrm{A}\)
3. \(23~\mathrm{A}\)
4. \(-3~\mathrm{A}\)