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Common Data for Questions 71, 72 and 73:

A speech signal, band limited to $4 \; \mathrm{kHz}$ and peak voltage varying between $+5 \mathrm{V}$ and $-5 \mathrm{V}$, is sampled at the Nyquist rate. Each sample is quantized and represented by $8$ bits.

If the bits $0$ and $1$ are transmitted using bipolar pulses, the minimum bandwidth required for distortion free transmission is

1. $64 \; \mathrm{kHz}$
2. $32 \; \mathrm{kHz}$
3. $8 \; \mathrm{kHz}$
4. $4 \; \mathrm{kHz}$