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

NEET · Physics · Oscillations

When a body is in SHM , then match the following. List - I List -...

When a body is in SHMSHM, then match the following.

List - I</td><tdcolspan="2"rowspan="1">List−II</td> <td colspan="2" rowspan="1">List - II
\left(A\right)</td><td>Velocityismaximum</td><td>(I)</td> <td>Velocity is maximum</td> <td>\left(I\right) Acceleration is maximum
\left(B\right)</td><td></td> <td>KEisis{\left(\dfrac{3}{4}\right)}^{\text{th}}oftotalenergy</td><td>(II)of total energy</td> <td>\left(II\right) At mean position
\left(C\right)</td><td></td> <td>PEisis{\left(\dfrac{3}{4}\right)}^{th}oftotalenergy</td><td>(III)of total energy</td> <td>\left(III\right) At half of the amplitude
\left(D\right)</td><td>Accelerationismaximum</td><td>(IV)</td> <td>Acceleration is maximum</td> <td>\left(IV\right) At 32\dfrac{\sqrt{3}}{2} times the amplitude

Options

  1. A
    AA BB CC DD
    IIIIII II IVIV IIII
  2. B
    AA BB CC DD
    II IIIIII IVIV IIII
  3. C
    AA BB CC DD
    IIII IIIIII IVIV II
  4. D
    AA BB CC DD
    IIII II IVIV IIIIII

Correct answer

C.

AA BB CC DD
IIII IIIIII IVIV II

Step-by-step solution

In S.H.M.S . H . M .
If equation of S.H.M.S . H . M . is given byy=Asin\omegaty = Asin\omegat
Velocity v=ωA2−x2v = \omega\sqrt{{A}^{2} - {x}^{2}}
And Acceleration a=−ω2xa = - {\omega}^{2}x
Here ω\omega is angular frequency and xx is displacement from mean position.

From velocity equation we can see that velocity will be max when x=0x = 0 i.e. particle is at mean position.

From acceleration equation we can see that acceleration is maximum at when particle is at extreme position i.e. x=Ax = A.
Kinetic energy is 12mv2=mω22(A2−x2)\dfrac{1}{2}m{v}^{2} = \dfrac{m{\omega}^{2}}{2}\left({A}^{2} - {x}^{2}\right)
Hence, Kinetic energy will be 34th\dfrac{3}{4}th of maximum kinetic energy12mω2A2\dfrac{1}{2}m{\omega}^{2}{A}^{2} when displacement is equal to half of amplitude\left(A\right) .</p><p>Potentialenergyisgivenby</p><p>Potential energy is given by\dfrac{1}{2}m{\omega}^{2}{x}^{2}.<br/>Hencepotentialenergywillbe. <br />Hence potential energy will be\dfrac{3}{4}thofthemaximumpotentialenergy(12mω2A2)of the maximum potential energy\left(\dfrac{1}{2}m{\omega}^{2}{A}^{2}\right) , when displacement from mean position is equal to 32A.\dfrac{\sqrt{3}}{2}A .

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