When a particle executes|SIMPLE HARMONIC MOTION|JEEMAIN 2021

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JEE MAIN 2021

24-02-2021 S2

Question

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

Select the correct option:

A

circular

B

elliptical

C

parabolic

D

straight line

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Ditto, word-to-word, exactly as written in the image: For a particle executing SHM, x = Asin(ωt + ϕ) v = ωAcos(ωt + ϕ) ⇒ v² / ω²A² + x² / A² = 1 ⇒ equation of ellipse between v and x

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