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(C) The standard equation for an amplitude modulated wave is $V_{AM} = A_c [1 + \mu \cos(\omega_m t)] \cos(\omega_c t)$.Comparing this with the given

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$20 	ext{ kHz}$

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(C) The standard equation for an amplitude modulated wave is $V_{AM} = A_c [1 + \mu \cos(\omega_m t)] \cos(\omega_c t)$.Comparing this with the given equation $V_{AM} = 10[1 + 0.4 \cos(2 \pi 	imes 10^4 t)] \cos(2 \pi 	imes 10^7 t)$,we identify the modulating frequency $f_m$.The term inside the cosine function for the modulating signal is $2 \pi f_m t = 2 \pi 	imes 10^4 t$,which gives $f_m = 10^4 	ext{ Hz} = 10 	ext{ kHz}$.The bandwidth of an amplitude modulated wave is given by $BW = 2 f_m$.Therefore,$BW = 2 	imes 10 	ext{ kHz} = 20 	ext{ kHz}$.

List-$I$ (Signal)	List-$II$ (Bandwidth)
$i$. Speech Signal	$a$. $4.2 \text{ MHz}$
$ii$. Music Signal	$b$. $6 \text{ MHz}$
$iii$. Video Signal	$c$. $20 \text{ kHz}$
$iv$. $T$.$V$. Signal	$d$. $2.8 \text{ kHz}$

An amplitude modulated wave is represented by $V_{AM} = 10[1 + 0.4 \cos(2 \pi \times 10^4 t)] \cos(2 \pi \times 10^7 t) \text{ V}$. The total bandwidth of the amplitude modulated wave is:

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