A message signal of frequency 10 kHz and peak value of 10 ~V is used to moderate a carrier of frequency 1 MHz and peak voltage 20 ~V . The modulation index and side bands produced are

Step-by-step solution

Frequency of message signal, f_ m =10 kHz Carrier frequency, f_ c =1 MHz =1000 kHz Peak value of message signal, V_ m =10 ~V Peak value of carrier signal, V_ c =20 ~V Modulation index, = V_ m V_ c = 10 20 =0.5 Upper side band frequency, f_ USB =f_ c +f_ m =1000+10 =1010 kHz Lower side band frequency, aligned f_ LSB &=f_ c -f_ m &=1000-10=990 kHz aligned