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Questions  

The motion of a particle varies with time according to the relation  y=2sinωt+2cosωt, then

a
The motion is oscillatory but not S.H.M.
b
The motion is S.H.M. with amplitude  2
c
The motion is S.H.M. with amplitude 2
d
The motion is S.H.M. with amplitude 4

detailed solution

Correct option is C

resultant amplitude of super position of two simple harmonic motions is R=a2+b2+2abcosϕ here a,b are amplitudes of two waves, ∅ is phase difference between themThe given equation can be written as  y=2sinωt+2sinωt+π2Here  ϕ=π2R=(2)2+(2)2+222cosπ2 R=2 unit

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