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Statement-I : In simple harmonic motion,...

Statement-I : In simple harmonic motion, the graph between velocity and the displacement is an ellipse.
Statement-II : In simple harmonic motion the phase difference between velocity and displacement is `pi//2`.

A

Statement-I is true, Statement-Ii is true, Statement-II is a correct explanation for Statement-I.

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanantion for Statement-I.

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true

Text Solution

Verified by Experts

The correct Answer is:
B
`y = a sin (omegat +phi), v = a omega cos (omegat +phi)`
`v= omega sqrt(a^(2)-y^(2)) rArr (v^(2))/(omega^(2)a^(2)) +(y^(2))/(a^(2)) = 1` and phase difference between displacement and velocity is `(pi)/(2)`.
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