1.

A modulated signal \[{{C}_{m}}(t)\] has the form \[{{C}_{m}}(t)=30\]\[\sin 300\pi t+10(\cos 200\pi t-\cos 400\pi t)\]. The carrier frequency \[{{f}_{c}},\] the modulating frequency (message frequency) \[{{f}_{\omega }}\] and the modulation index \[\mu \] are respectively given by :

A. \[{{f}_{c}}=200\,Hz;\,{{f}_{w}}=50\,Hz;\,\,\mu =\frac{1}{2}\]
B. \[{{f}_{c}}=150\,Hz;\,{{f}_{w}}=50\,Hz;\,\,\mu =\frac{2}{3}\]
C. \[{{f}_{c}}=150\,Hz;\,{{f}_{w}}=30\,Hz;\,\,\mu =\frac{1}{3}\]
D. \[{{f}_{c}}=200\,Hz;\,{{f}_{w}}=30\,Hz;\,\,\mu =\frac{1}{2}\]
Answer» C. \[{{f}_{c}}=150\,Hz;\,{{f}_{w}}=30\,Hz;\,\,\mu =\frac{1}{3}\]


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