GATE EC 2017 Set 2 — Question 51

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NAT+2 / -0MediumAngle Modulation (FM & PM)Analog CommunicationsCommunications

Communications → Analog Communications → Angle Modulation (FM & PM)

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A modulating signal given by x(t)=5sin(4π103t10πcos2π103t) Vx(t) = 5 \sin(4\pi 10^3 t - 10\pi \cos 2\pi 10^3 t) \text{ V} is fed to a phase modulator with phase deviation constant kp=5 rad/Vk_p = 5 \text{ rad/V}. If the carrier frequency is 20 kHz20 \text{ kHz}, the instantaneous frequency (in kHz) at t=0.5 mst = 0.5 \text{ ms} is ___________
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