In the circuit shown, the current in the \(1~\Omega\) resistor is:
         

1.	\(1.3~\text{A},\) from \(P\) to \(Q\)
2.	\(0~\text{A}\)
3.	\(0.13~\text{A}\), from \(Q\) to \(P\)
4.	\(0.13~\text{A}\), from \(P\) to \(Q\)

In a large building, there are \(15\) bulbs of \(40~\text{W}\), \(5\) bulbs of \(100~\text{W}\), \(5\) fans of \(80~\text{W}\) and \(1\) heater of \(1~\text{kW}\). The voltage of the electric mains is \(220~\text{V}\). The minimum capacity of the main fuse of the building will be:
1. \(10~\text{A}\)
2. \(12~\text{A}\)
3. \(14~\text{A}\)
4. \(8~\text{A}\)

When \(5~\text{V}\) potential difference is applied across a wire of length \(0.1~\text{m}\), the drift speed of electrons is \(2.5\times 10^{-4}~\text{ms}^{-1}\). If the electron density in the wire is \(8\times 10^{28}~\text{m}^{-3}\), the resistivity of the material is close to:
1. \(1.6 \times 10^{-8}~\Omega\text-\text{m}\)
2. \(1.6 \times 10^{-7}~\Omega\text-\text{m}\)
3. \(1.6 \times 10^{-6}~\Omega\text-\text{m}\)
4. \(1.6 \times 10^{-5}~\Omega\text-\text{m}\)

A wire of resistance \(1~\Omega\) and length \(1~\text{m}\) is stretched so that its length increases by \(25\%,\) while its volume remains constant. What is the percentage change in its resistance (to the nearest integer)?
1. \(56\%\)
2. \(25\%\)
3. \(12.5\%\)
4. \(76\%\)

Which of the following statements is false?

In the circuit shown, three \(1~\Omega\) resistors are connected vertically between the upper and lower conductors. Each section of both the upper and lower conductors contains an ideal \(2~\text{V}\) source, all orientated in the same direction. The left ends of the two conductors are directly connected.

What is the current through each of the \(1~\Omega\) resistor?

In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance \(C\) will be:

                       
1. \(CE \)
2. \({CE} \frac{r_1}{\left(r_2+r\right)} \)
3. \({CE} \frac{r_2}{\left(r+r_2\right)} \)
4. \( C E \frac{r_1}{\left(r_1+r\right)}\)

Four resistances \(40 ~\Omega, 60 ~\Omega, 90 ~\Omega \text { and } 110 ~\Omega\) make the arms of a quadrilateral \(ABCD\). Across \(AC\) is a battery of emf \(40~\text{V}\) and internal resistance negligible. The potential difference across \(BD\) in \(V\) is:

 
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)

In the given circuit, an \(8~\text{V}\) battery powers a network of resistors. The current \(i_1\)​ flows from point \(A\) to point \(C\) through the resistor network. The value of \(i_1\) is:
           
1. \(2~\text{A}\)
2. \(1~\text{A}\)
3. \(5~\text{A}\)
4. \(4~\text{A}\)

For the given input voltage waveform \(V_{\text{in}}(t)\) the output voltage waveform \(V_{\text{o}}(t)\), across the capacitor is correctly depicted by: 
        

1.
2.
3.
4.