The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where $E$ is the total energy)
  • A$\frac{1}{8}E$
  • B$\frac{1}{4}E$
  • C$\frac{1}{2}E$
  • D$\frac{2}{3}E$
AIPMT 2003, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The displacement time graph of a particle executing $S.H.M.$ is as shown in the figureThe corresponding force-time graph of the particle is
    View Solution
  • 2
    Two equations of two $S.H.M.$ are $y = a\sin \,(\omega \,t - \alpha )$ and $y = b\cos (\omega \,t - \alpha )$. The phase difference between the two is .... $^o$
    View Solution
  • 3
    A particle executes $SHM$ of period $1.2\, sec$ and amplitude $8\, cm.$ Find the time it takes to travel $3\,cm$ from the positive extremity of its oscillation.  ..... $\sec$
    View Solution
  • 4
    Figure shows the position-time graph of an object in $S.H.M.$ The correct equation representing this motion is ..........
    View Solution
  • 5
    A particle is executing the motion $x = A\cos (\omega \,t - \theta )$. The maximum velocity of the particle is
    View Solution
  • 6
    A block with mass $M$ is connected by a massless spring with stiffiess constant $k$ to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude $A$ about an equilibrium position $x_0$. Consider two cases: ($i$) when the block is at $x_0$; and ($ii$) when the block is at $x=x_0+A$. In both the cases, a perticle with mass $m$ is placed on the mass $M$ ?

    ($A$) The amplitude of oscillation in the first case changes by a factor of $\sqrt{\frac{M}{m+M}}$, whereas in the second case it remains unchanged

    ($B$) The final time period of oscillation in both the cases is same

    ($C$) The total energy decreases in both the cases

    ($D$) The instantaneous speed at $x_0$ of the combined masses decreases in both the cases

    View Solution
  • 7
    The total energy of the body executing $S.H.M.$ is $E$. Then the kinetic energy when the displacement is half of the amplitude, is
    View Solution
  • 8
    This is the position time graph of a mass on spring. What can you say about the velocity and force at the instant indicated by dashed line ? (positive direction is to the right)
    View Solution
  • 9
    When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be.
    View Solution
  • 10
    A ring is hung on a nail. It can oscillate, without slipping or sliding $(i)$ in its plane with a time period $T_{1}$ and, $(ii)$ back and forth in a direction perpendicular to its plane, with a period $T _{2}$. the ratio $\frac{ T _{1}}{ T _{2}}$ will be 
    View Solution