Thank you for reporting, we will resolve it shortly
Q.
To transmit a signal of frequency, $\omega_{m}$, with a carrier frequency, $\omega_{c}$ , in $AM$ transmission, the bandwidth of the filter and amplifier is
Given, Transmitted frequency of signal $=\omega_{ m }$
Carrier frequency
The band width of the filter and amplifier.
$=\left(\omega_{m}-\omega_{e}\right)+\left(\omega_{m}+\omega_{e}\right) $
$=2\, \omega_{m}$