$12$ signals,each band-limited to $5\, kHz$,are to be transmitted by frequency-division multiplexing. If an $AM-SSB$ modulation guard band of $1\, kHz$ is used,then the bandwidth of the multiplexed signal is ....... $kHz$.

$A$ message signal of frequency $50 / \pi \text{ kHz}$ and peak voltage of $5 \text{ V}$ is used to modulate a carrier of frequency $1 \text{ MHz}$ and peak voltage $20 \text{ V}$. The modulation index is

$A$ carrier wave with amplitude of $250\, \text{V}$ is amplitude modulated by a sinusoidal baseband signal of amplitude $150\, \text{V}$. The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is $50:x$,then the value of $x$ is ....... .

An amplitude modulated wave is modulated to $50\%$. What is the saving in power if the carrier as well as one of the sidebands are suppressed?

An amplitude modulated signal is given by $V(t) = 10[1 + 0.6 \cos(2.2 \times 10^4 t)] \sin(5.5 \times 10^5 t)$, where $t$ is in seconds. The sideband frequencies (in $kHz$) are: [Given $\pi = 22/7$]

$A$ telephone link operating at a central frequency of $10\, GHz$ is established. If $1\%$ of this is available,then how many telephone channels can be simultaneously provided,given that each telephone covers a bandwidth of $5\, kHz$?