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Questions  

The displacement of a particle is given by y=a  sin2πt+ϕ then 

a
The motion is oscillatory but not simple harmonic motion
b
The motion is simple harmonic with amplitude a
c
The motion is simple periodic but not simple harmonic motion
d
The motion is simple harmonic whose frequency is  2π.

detailed solution

Correct option is B

The equation y=a  sin2πt+ϕ  represents simple harmonic motion which takes  the form  y=A  sinωt+ϕ. On comparing with standard equation we get amplitude  A = a, angular Frequency  ω=2π and phase   ϕ

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