$A$ message signal of $3 \text{ kHz}$ is used to modulate a carrier signal of frequency $1 \text{ MHz}$ using amplitude modulation. The upper sideband frequency and bandwidth respectively are:

  • A
    $1.003 \text{ MHz}$ and $6 \text{ kHz}$
  • B
    $0.997 \text{ MHz}$ and $6 \text{ kHz}$
  • C
    $1.003 \text{ MHz}$ and $3 \text{ kHz}$
  • D
    $1.003 \text{ MHz}$ and $2 \text{ MHz}$

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For which of the following $AM$ waves is the modulation index equal to $1$?

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