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Q.

The number of harmonic components in the oscillation represented by y - 4 cos2 2t sin 4t and their corresponding angular frequencies are:

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a

three; 2 rad/s,4 rad/s, 8 rad/s

b

two; 2 rads, 4 rad/s

c

two; 4 rad/s, 8 rad/s

d

two; 2 rad/s, 8 rad/s

answer is C.

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Detailed Solution

y=4 cos2 2t sin 4t=21+cos 4tsin 4 t                           =2 sin 4t+2 sin 4 t cos 4 t                                  =2 sin 4t+sin 8 t Number of harmonic components = 2                       ω= 4 ras/s,8 rad/s.
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