An audio signal is modulated by a carrier wave of 20 MHz such that the bandwidth required for modulation is 3 kHz. Could this wave be demodulated by a diode detector which has the values of R and C as (i) `R = 1 k Omega, C = 0.01 mu F (ii) R = 10 k Omega, C = 0.01 muF (iii) R = 10k Omega , C = 1 mu muF`.

Explanation

To determine if the given audio signal modulated by a carrier wave of 20 MHz can be demodulated by a diode detector with specific resistor (R) and capacitor (C) values, we will follow these steps:

### Step 1: Identify Given Values
- Carrier frequency, \( f_c = 20 \text{ MHz} = 20 \times 10^6 \text{ Hz} \)
- Bandwidth required for modulation, \( BW = 3 \text{ kHz} = 3 \times 10^3 \text{ Hz} \)

### Step 2: Calculate the Modulating Frequency (\( f_m \))
The bandwidth for modulation is given by:
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