Statement I: A speech signal of 2 kHz is used to modulate a carrier signal of 1 MHz. The bandwidth requirement for the signal is 4 kHz. Statement II: The side band frequencies are 1002 kHz and 998 kHz. In the light of the above statements, choose the correct answer from the options given below:

a. Both statement I and statement II are false

b. Statement I is false but statement II is true

c. Statement I is true but statement II is false

d. Both statement I and statement II are true

Answer: (d)

Side band = (fc – fm) to (fc + fm)

= (1000 – 2) kHz to (1000 + 2) kHz

= 998 kHz to 1002 kHz

Band width = 2fm

= 2 ×2kHz

= 4 kHz

Both statements are true.

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