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STATEMENT-1 In amplitude modulated wave,...

STATEMENT-1 In amplitude modulated wave, the band-width is twice the signal frequency
STATEMENT 2 In amplitude modulated wave, the bandwidth does not depend on the Frequency of the carrier wave

A. Statement-1 is True. Statement-2 is True
Statement-2 is a correct explanation for statement-1
B. Statement is True Statement-2 is True
Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 Is True Statement-2 is False
D. Statement-1 is False. Statement 2 is True

A

Statement-1 is True. Statement-2 is True
Statement-2 is a correct explanation for statement-1

B

Statement is True Statement-2 is True
Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 Is True Statement-2 is False

D

Statement-1 is False. Statement 2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements regarding amplitude modulation. **Step 1: Analyze Statement 1** - Statement 1 claims that in an amplitude-modulated wave, the bandwidth is twice the signal frequency. - In amplitude modulation (AM), the total bandwidth (BW) can be calculated as: \[ \text{BW} = 2f_m \] where \( f_m \) is the frequency of the modulating signal (the message signal). - This means that the bandwidth of an AM signal is indeed twice the frequency of the modulating signal. - Therefore, **Statement 1 is True**. **Step 2: Analyze Statement 2** - Statement 2 claims that in an amplitude-modulated wave, the bandwidth does not depend on the frequency of the carrier wave. - The formula for the bandwidth of an amplitude-modulated wave is: \[ \text{BW} = 2f_m \] - Notice that the carrier frequency \( f_c \) does not appear in this formula. This indicates that the bandwidth is solely dependent on the modulating signal frequency \( f_m \) and does not depend on the carrier frequency \( f_c \). - Therefore, **Statement 2 is also True**. **Step 3: Determine the relationship between the statements** - While both statements are true, Statement 2 does not provide a correct explanation for Statement 1. Statement 1 is about the relationship of bandwidth to the signal frequency, while Statement 2 discusses the independence of bandwidth from the carrier frequency. - Therefore, the correct answer is **Option B**: Statement 1 is True, Statement 2 is True, but Statement 2 is NOT a correct explanation for Statement 1.
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