JEE Main · 2021 · 26 Feb 2021 · Shift 2 · Elasticity & SHM

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

Answer: (A)

Solution

For SHM,

x = A sin (ω t)

and

v = A ω cos (ω t)

. Eliminating time:

\frac{x ^{2}}{A ^{2}} + \frac{v ^{2}}{A ^{2} ω ^{2}} = 1

, which is the equation of an ellipse in the

x

v

plane.

JEE Main · 2021 · 26 Feb 2021 · Shift 2 · Single correct option