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$y = 10 \cos (1800 \; \pi t) + 20 \cos (2000 \; \pi t) + 10 \cos (220 \; \pi t).$ Find the modulation index $(\mu)$ of the given wave. 

  1. $0.3$
  2. $0.5$
  3. $0.7$
  4. $1$
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