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. \(1.6 \times 10^{-5}~\Omega\text-\text{m}\)

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

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. \( C E \frac{r_1}{\left(r_1+r\right)}\)

In the above circuit, the current in each resistance is:

1. \(1~\text{A}\)
2. \(0.25~\text{A}\)
3. \(0.5~\text{A}\)
4. \(0~\text{A}\)

Which of the following statements is false?