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A carrier is phase modulated (PM) with frequency deviation of $10 \; \mathrm{kHz}$ by a single tone frequency of $1 \; \mathrm{kHz}$. If the single tone frequency is increased to $2 \; \mathrm{kHz}$, assuming that phase deviation remains unchanged, the bandwidth of the PM signal is

1. $21 \; \mathrm{kHz}$
2. $22 \; \mathrm{kHz}$
3. $42 \; \mathrm{kHz}$
4. $44 \; \mathrm{kHz}$