Resonance frequency and Quality Factor (D) are two important parameters in an RLC circuit. The bandwidth can be determined using these parameters.

Resonance Frequency:
The resonance frequency (fr) of an RLC circuit is the frequency at which the impedance is purely resistive, i.e., the reactance from the inductor (XL) cancels out the reactance from the capacitor (XC). In this case, the resonance frequency is given as 150 KHz.

Quality Factor (D):
The Quality Factor (D) of an RLC circuit is a measure of how selective the circuit is in response to frequencies near the resonance frequency. It is defined as the ratio of the resonant frequency (fr) to the bandwidth (BW) of the circuit. Mathematically, D = fr / BW.

To determine the bandwidth, we can rearrange the equation as BW = fr / D.

Given that the resonance frequency (fr) is 150 KHz and the Quality Factor (D) is 50, we can substitute these values into the equation to find the bandwidth.

Calculation:
BW = fr / D
= 150 KHz / 50
= 3 KHz

Hence, the bandwidth of the RLC circuit is 3 KHz.

Explanation:
The correct answer is option 'A' (3 KHz) because the bandwidth of the circuit can be calculated using the equation BW = fr / D. By substituting the given values, we find that the bandwidth is 3 KHz. This means that the circuit will have a range of frequencies centered around the resonance frequency (150 KHz) within which it will respond with a maximum amplitude. Any frequencies outside this range will be attenuated.