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Question

If EC=20sin105πt and EM=10sin400πt are carrier and modulating signals respectively, the modulation index is


A

56%

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B

30%

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C

50%

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D

48%

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Solution

The correct option is C

50%


Step 1: Given data

Carrier signal, EC=20sin105πt

Modulating signal,EM=10sin400πt

Step 2: Formula used

Modulation index, m is given by amplitudeofEMamplitudeofEC

Step 3: Substituting the values

m=amplitudeofEMamplitudeofEC=1020×100=50%

Therefore, the modulation index is 50%

Hence, option C is correct


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