The electrical energy (in kWh) consumed in operating a bulb of 40 W for 5 hours a day in a month of 30 days is:
First, calculate the total energy consumed by the bulb in a day: $$E_{\text{day}} = P \times t = 40 \, \text{W} \times 5 \, \text{hours} = 200 \, \text{Wh}$$
Next, calculate the total energy consumed in a month of 30 days: $$E_{\text{month}} = E_{\text{day}} \times \text{Number of days} = 200 \, \text{Wh} \times 30 = 6000 \, \text{Wh}$$
Finally, convert the energy from Wh to kWh: $$E_{\text{kWh}} = \frac{6000 \, \text{Wh}}{1000} = 6 \, \text{kWh}$$
Thus, the electrical energy consumed is 6 kWh.
In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage \( E \) for unit change in the resistance \( R \), in V/Ω, is __________ (round off to two decimal places).
An ideal low pass filter has frequency response given by \[ H(j\omega) = \begin{cases} 1, & |\omega| \leq 200\pi \\ 0, & \text{otherwise} \end{cases} \] Let \( h(t) \) be its time domain representation. Then h(0) = _________ (round off to the nearest integer).