Q65 / 90 · JEE Main 2021 (25 Feb Shift 1) · Physics

Given below are two statements:

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
    Statement I is false but Statement II is true
  • Correct answer
    B
    Both Statement I and Statement II are true
  • C
    Statement I is true but Statement II is false
  • D
    Both Statement I and Statement II are false

Solution

fm=2 kHz

fc=1 MHz=1000 kHz

Band width =2fm=4 kHz

∴ Side frequencies will be

=fc±fm

=1000±2 kHz

=998 kHz & 1002 kHz

So, statement-I & statement-II both are correct.

Hence, the correct answer is option: 'B'.

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