An angle modulated signal is expressed as-st-cos 200- tcos 5sin 2- t-sin200- tsin 5sin 2- tThe instantaneous frequency of the signal st can be expressed as

s(t)=cos (200π t)cos (5sin 2π t) sin(200π t)sin (5sin 2π t) nbsp; nbsp; nbsp; nbsp; =[200π t+5sin 2π t] θ (t)=200π t+5sin 2π t f_i=12πdθ (t)dt=[ ...

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Standard IX

Physics

Speed of Sound

An angle modu...

Question

An angle modulated signal is expressed as,
$s (t) = cos (200 π t) cos (5 sin 2 π t) - sin (200 π t) sin (5 sin 2 π t)$
The instantaneous frequency of the signal s(t) can be expressed as

$[200 + 10 cos (2 π t)] H z$

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$[100 + 5 sin (2 π t)] H z$

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$[100 + 5 cos (2 π t)] H z$

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$[200 + 10 sin (2 π t)] H z$

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Solution

The correct option is C
$[100 + 5 cos (2 π t)] H z$

$s (t) = cos (200 π t) cos (5 sin 2 π t) - sin (200 π t) sin (5 sin 2 π t)$

$= [200 π t + 5 sin 2 π t]$

$θ (t) = 200 π t + 5 sin 2 π t$

$f_{i} = \frac{1}{2 π} \frac{d θ (t)}{d t} = [100 + 5 cos (2 π t)] H z$

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An angle modulated signal is expressed as, s(t)=cos(200πt)cos(5sin2πt)−sin(200πt)sin(5sin2πt) The instantaneous frequency of the signal s(t) can be expressed as

The correct option is C [100+5cos(2πt)]Hz s(t)=cos(200πt)cos(5sin2πt)−sin(200πt)sin(5sin2πt) =[200πt+5sin2πt] θ(t)=200πt+5sin2πt fi=12πdθ(t)dt=[100+5cos(2πt)]Hz

An angle modulated signal is expressed as,
$s (t) = cos (200 π t) cos (5 sin 2 π t) - sin (200 π t) sin (5 sin 2 π t)$
The instantaneous frequency of the signal s(t) can be expressed as

The correct option is C
$[100 + 5 cos (2 π t)] H z$

$s (t) = cos (200 π t) cos (5 sin 2 π t) - sin (200 π t) sin (5 sin 2 π t)$

$= [200 π t + 5 sin 2 π t]$

$θ (t) = 200 π t + 5 sin 2 π t$

$f_{i} = \frac{1}{2 π} \frac{d θ (t)}{d t} = [100 + 5 cos (2 π t)] H z$