The displacement x(in metres) of a parti...

The displacement x(in metres) of a particle performing simple harmonic motion is related to time t(in seconds) as `x=0.05cos(4pit+(pi)/4)` .the frequency of the motion will be

A

0.5 Hz

B

1.0 Hz

C

1.5 Hz

D

2.0 Hz

Text Solution

Verified by Experts

The correct Answer is:

D

Compare the given equation with the standard from
`y=a cos [(2pi t)/T-(2pi x)/lambda]`
Coefficient of `t=(2pi)/T=2 pi n=4 pi, n =2` Hz

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