QJEEM19Phf074: JEE Main 2019 Physics - Class 12 JEEM19Phf074 Solution: A signal Acoswt is transmitted using v 0 sin 0 t as carrier…

Question

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A signal Acoswt is transmitted using v₀ sin

\omega

₀t as carrier wave. The correct amplitude modulated (AM) signal is

A v0 sin $\omega$ 0t + Acos $\omega$ t
B (v0 + A)cos $\omega$ t sin $\omega$ 0 t
C v0 sin[ $\omega$ 0 (1+ 0.01Asin $\omega$ t)t]
D ${v_0}\sin {\omega _0}t + {{\rm A} \over 2}\sin ({\omega _0} - \omega )t + {A \over 2}\sin ({\omega _0} + \omega )t$

Accepted Answer

A = \left( {{v_0} + A\cos \,\omega t} \right)\sin {\omega _o}t

\Rightarrow {v_0}\sin \left( {{\omega _o}t} \right) + {A \over 2}\left[ {\sin \left( {{\omega _o} - \omega } \right)t + \sin \left( {{\omega _o} + \omega } \right)t} \right]

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