Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Oscillations

NEET 2024 · Physics · Oscillations

The two-dimensional motion of a particle, described by r =( i +2 j...

The two-dimensional motion of a particle, described by r⃗=(i^+2j^)Acos⁡ωt\vec{r}=(\hat{i}+2 \hat{j}) A \cos \omega t is a/an: A. parabolic path B. elliptical path C. periodic motion D. simple harmonic motion Choose the correct answer from the options given below:

Options

  1. AB, C and D only
  2. BA, B and C only
  3. CA, C and D only
  4. DC and D only

Correct answer

D. C and D only

Step-by-step solution

r⃗=(i^+2j^)Acos⁡ωt\vec{r}=(\hat{i}+2 \hat{j}) A \cos \omega t x=Acos⁡ωtx=A \cos \omega t y=2Acos⁡ωty=2 A \cos \omega t y=2xy=2 x The path is straight line. The motion is SHM and periodic as drdt=−(i^+2j^)ωAsin⁡ωt\frac{d r}{d t}=-(\hat{i}+2 \hat{j}) \omega A \sin \omega t d2rdt2=−(i^+2j^)ω2Acos⁡ωt\frac{d^2 r}{d t^2}=-(\hat{i}+2 \hat{j}) \omega^2 A \cos \omega t a⃗=−ω2r⃗\vec{a}=-\omega^2 \vec{r}
Practice Oscillations on Quantrex Academy →

More from Oscillations

A simple pendulum oscillating in air has a period of 3 second. If it is immersed in a… MHT CET Medical 2026Identify the equation that DOES NOT represent oscillatory motion. (A is amplitude of… MHT CET Medical 2026The potential energy of a simple harmonic oscillator when the particle is at (3)/(4)A… MHT CET Medical 2026Two SHM's x_1 = a (ω t + (3π)/(2)) and x_2 = a ( ω t + π) are superimposed on each other.… MHT CET Medical 2026The average acceleration of a particle performing S.H.M. over two complete oscillations… MHT CET Medical 2026The periodic time of a simple pendulum, (the simple pendulum with its bob is in air) is… MHT CET Medical 2026The graph shows variation of displacement of a particle performing SHM with time t. which… MHT CET Medical 2026Two particles A and B execute S.H.M.s of periods T and (5T)/(2) . If they start from the… MHT CET Medical 2026 Full Oscillations list All NEET PYQs