A message signal of frequency $5 \mathrm{kHz}$ is used to modulate a carrier signal of frequency $2 \mathrm{MHz}$. The bandwidth for amplitude modulation is:

We have, 

Message frequency $f_m=5 \mathrm{kHz}$ and carrier wave frequency$f_c=2 \mathrm{MHz}$$=2000 \mathrm{KHz}$

The resultant signal will have bandwidth of frequency given by

$\left[\left(f_{\mathit{c}}+f_{\mathit{m}}\right)-\left(f_{\mathit{c}}-f_{\mathit{m}}\right)\right]$

$=\left[\right(2000+5)-(2000-5\left)\right] \mathrm{kHz}$

$=10 \mathrm{kHz}$.

Thus, bandwidth for amplitude modulation is $10 \mathrm{kHz}$.