The amplitude of 15 sin ( 1000 π t ) is modulated by 10 sin ( 4 π t ) signal. The amplitude modulated signal contains frequencies of A. 500 Hz B. 2 Hz C. 250 Hz D. 498 Hz E. 502 Hz Choose the correct answer from the options given below

Step-by-step solution

The carrier wave frequency is given by f c = 1000 π 2 π =   500   Hz The modulating wave frequency is given by f m = 4 π 2 π =   2   Hz Hence, the frequencies contained in the modulated signal are given by f = f c - f m , f m , f c + f m = 498   Hz ,   500   Hz ,   502   Hz