Given below are two statement Statement-I: A speech signal of 2 ,… - Vidyadip

MCQ

Given below are two statement

Statement$-I:$ A speech signal of $2\, kHz$ is used to modulate a carrier signal of $1\, MHz$. The band width 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 true but Statement $II$ is false
B
Statement $I$ is false but Statement $II$ is true
✓
Both Statement $I$ and Statement $II$ are true
D
Both Statement $I$ and Statement $II$ are false

✓

Answer

Correct option: C.

Both Statement $I$ and Statement $II$ are true

c
$f _{ m }=2 kHz$

$f _{ c }=1 MHz =1000 kHz$

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

$\therefore$ Side frequencies will be

$=f_{c} \pm f_{m}$

$=(1000 \pm 2) kHz$

$=998 kHz$ and $1002 kHz$

So statement$-I$ and statement$-II$ both are correct.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A bird flies for $4 \,s$ with a velocity of $|\;t - 2|\;m/s$ in a straight line, where $t$ is time in seconds. It covers a distance of .........$m$

If eight identical drops are joined to form a bigger drop, the potential on bigger as compared to that on smaller drop will be

Work done by an external agent in separating the parallel plate capacitor is

Electric field in a certain region is given by $\overrightarrow{ E }=\left(\frac{ A }{ x ^2} \hat{ i }+\frac{ B }{ y ^3} \hat{ j }\right)$. The $SI$ unit of $A$ and $B$ are

Three waves of equal frequency having amplitudes $10\, \mu m, 4\, \mu m$ and $7\, \mu m$ arrive at a given point with successive phase difference of $\pi/2$. The amplitude of the resulting wave in $\mu m$ is given by

How much work does a pulling force of $40 \,N$ do on the $20\, kg$ box in pulling it $8 \,m $ across the floor at a constant speed. The pulling force is directed at $60^o $ above the horizontal.....$J$

The direction of induced e.m.f. during electromagnetic induction is given by

From a supply of identical capacitors rated $8\ \mu F$, $250\ V$, the minimum number of capacitors required to form a composite $16$ $\mu F$, $1000$ $V$ is :

Two conducting circular loops $A $and $B$ are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them $1$s:

Four electrons, each of mass $m_{e}$ are in a one dimensional box of size $L$. Assume that, the electrons are non-interacting, obey the Pauli exclusion principle and are described by standing de Broglie waves confined within the box. Define $\alpha=h^{2} / 8 m_{e} L^{2}$ and $U_{0}$ to be the ground state energy. Then,