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The composition of two simple harmonic m...

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of `pi` result in the displacement of the particle along

A

Straight line

B

Circle

C

Ellipse

D

Figure of eight

Text Solution

Verified by Experts

The correct Answer is:
A
`y_(1)=a_(1)sin(omegat)`
`y_(2)=a_(2)sin(omegat+pi)=-a_(2)sin(omegat)`
Now, `(y_(1))/(a_(1))=(y_(2))/(a_(2))=0 implies y_(2)=-(a_(2))/(a_(1))y_(1)`
This is equation of straight line.
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