A particle executes S.H.M., the graph of velocity as a function of displacement is: (a) a parabola (b) a helix (c) an ellipse (d) a circle

Answer: (c). v² = ω²(A² - x²) ⇒ (x²)/(A²) + (v²)/(ω²A²) = 1. This is the equation of an ellipse (a circle only in the special case ω = 1). So the answer is (c) an ellipse.

A particle executes S.H.M., the graph of velocity as a function of… | JEE Main 2021 (26 Feb, Shift 2)

Q56JEE Main 2021 · 26 FEB · SHIFT 2Easy

Velocity & Acceleration in SHM

A particle executes S.H.M., the graph of velocity as a function of displacement is:

Show answer and solution

Answer: (c)

$v^2 = \omega^2(A^2 - x^2) \Rightarrow \frac{x^2}{A^2} + \frac{v^2}{\omega^2A^2} = 1$ .
This is the equation of an ellipse (a circle only in the special case $\omega = 1$ ).
So the answer is (c) an ellipse.

Report a mistake

More questions on Velocity & Acceleration in SHM

When a particle executes SHM, the nature of graphical representation of velocity as a…JEE Main 2021 (24 Feb, Shift 2)
A particle executes S.H.M. of period (2π)/(√(3)) second along a straight line 4 cm long…MHT CET 2021 (20 Sep, Shift 2)
A particle performing linear S.H.M. of amplitude 0.1 m has displacement 0.02 m and…MHT CET 2021 (24 Sep, Shift 1)
A particle is making simple harmonic motion along the X-axis. If at a distances x1 and x2…JEE Main 2021 (20 Jul, Shift 2)
The phase difference between displacement and acceleration of a particle in a simple…NEET 2020 (Phase 1)
The displacement time graph of a particle executing S.H.M is given in figure: (sketch is…JEE Main 2020 (2 Sep, Shift 2)
A particle is performing a linear simple harmonic motion of amplitude ' A '. When it is…MHT CET 2019 (2 May, Shift 2)
A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle…JEE Main 2019 (10 Jan, Shift 2)

Velocity & Acceleration in SHM question from JEE Main 2021 (26 Feb, Shift 2)

More questions on Velocity & Acceleration in SHM