Given below are two statement :

Question:

Given below are two statement :

Statement-I: A speech signal of $2 \mathrm{kHz}$ is used to modulate a carrier signal of $1 \mathrm{MHz}$. The band width requirement for the signal is $4 \mathrm{kHz}$.

Statement-II : The side band frequencies are $1002 \mathrm{kHz}$. and $998 \mathrm{kHz}$.

In the light of the above statements, choose the correct answer from the options given below:

  1. Statement I is true but Statement II is false

  2. Statement I is false but Statement II is true

  3. Both Statement I and Statement II are true

  4. Both Statement I and Statement II are false


Correct Option: , 3

Solution:

$f_{m}=2 k H z$

$f_{c}=1 M H z=1000 \mathrm{kHz}$

Band width $=2 \mathrm{f}_{\mathrm{m}}=4 \mathrm{kHz}$

$\therefore$ Side frequencies will be

$=\mathrm{f}_{\mathrm{c}} \pm \mathrm{f}_{\mathrm{m}}$

$=(1000 \pm 2) \mathrm{kHz}$

$=998 \mathrm{kHz} \& 1002 \mathrm{kHz}$

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

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now