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Standard XII

Physics

Sinusoidal ca...

Question

Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are

1490, 1510

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1510, 1490

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Solution

The correct option is A 1490, 1510
Here, $f_{c}$ = 1.5 MHz = 1500 kHz , $f_{m}$ = = 10 kHz
$∴$ Low side band frequency
= $f_{c}$ - $f_{m}$ = 1500 kHz - 10 kHz = 1490 kHz
Upper side band frequency
= $f_{c}$ + $f_{m}$ = 1500 kHz + 10 kHz = 1510 kHz

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Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are

The correct option is A 1490, 1510Here, fc = 1.5 MHz = 1500 kHz ,fm = = 10 kHz ∴ Low side band frequency = fc - fm = 1500 kHz - 10 kHz = 1490 kHz Upper side band frequency = fc + fm = 1500 kHz + 10 kHz = 1510 kHz

The correct option is A 1490, 1510
Here, $f_{c}$ = 1.5 MHz = 1500 kHz , $f_{m}$ = = 10 kHz
$∴$ Low side band frequency
= $f_{c}$ - $f_{m}$ = 1500 kHz - 10 kHz = 1490 kHz
Upper side band frequency
= $f_{c}$ + $f_{m}$ = 1500 kHz + 10 kHz = 1510 kHz