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Question

Physics Question on Waves

The amplitude of 15sin(1000πt)15 \sin (1000 \pi t ) is modulated by 10sin(4πt)10 \sin (4 \pi t ) signal The amplitude modulated signal contains frequency (ies) of A 500Hz500\,Hz B 2Hz2\, Hz C 250Hz250\, Hz D 498Hz498\, Hz E 502Hz502\, Hz Choose the correct answer from the options given below:

A

B Only

B

A and B Only

C

A, D and E Only

D

A Only

Answer

A, D and E Only

Explanation

Solution

Carrier wave frequency
VC​=2π100π​=500Hz
Modulating wave frequency
Vm​=2π4π​=2Hz
∴VC​−Vm​,Vc​,Vc​+Vm​
=498Hz,500Hz,502Hz