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(B) The standard equation for an amplitude modulated wave is given by $C_{m}(t) = A_{c}(1 + \mu \cos \omega_{m} t) \sin \omega_{c} t$.Comparing this w

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$2$

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(B) The standard equation for an amplitude modulated wave is given by $C_{m}(t) = A_{c}(1 + \mu \cos \omega_{m} t) \sin \omega_{c} t$.Comparing this with the given equation $C_{m}(t) = 10(1 + 0.2 \cos 12560 t) \sin (111 	imes 10^{4} t)$, we identify the angular modulating frequency $\omega_{m} = 12560 \ rad/s$.We know that $\omega_{m} = 2 \pi f_{m}$, where $f_{m}$ is the modulating frequency.Therefore, $f_{m} = \frac{\omega_{m}}{2 \pi} = \frac{12560}{2 	imes 3.14} = \frac{12560}{6.28} = 2000 \ Hz$.Converting this to $kHz$, we get $f_{m} = 2 \ kHz$.

An amplitude modulated wave is represented by $C_{m}(t)=10(1+0.2 \cos 12560 t) \sin (111 \times 10^{4} t)$ volts. The modulating frequency in $kHz$ will be ........... .

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