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Question

Physics Question on Electromagnetic waves

A sinusoidal wave y(t) = 40sin(10 × 106 π t) is amplitude modulated by another sinusoidal wave x(t) = 20sin(1000π t). The amplitude of minimum frequency component of modulated signal is:

A

0.5

B

0.25

C

20

D

10

Answer

10

Explanation

Solution

The correct answer is (D): 10

Explanation:

Modulate signal s(t) ≡ [1 + 20sin(1000π t)] sin(107π t)
≡ sin(107π t) + 10cos(107π t – 103π t) + 10cos(107π t + 103π t)
⇒ Required amplitude = 10