Electrons moving between inner shell energy levels often emit photons due to the energy differences involved. The specific type of electromagnetic radiation depends on the energy gap between the levels. For transitions in inner shells, especially in elements with higher atomic numbers, this gap can be significant, leading to the emission of high-energy photons such as ultraviolet rays, and even extending into X-ray wavelengths in some cases.
An inductor and a resistor are connected in series to an AC source of voltage \( 144\sin(100\pi t + \frac{\pi}{2}) \) volts. If the current in the circuit is \( 6\sin(100\pi t + \frac{\pi}{2}) \) amperes, then the resistance of the resistor is: