A loaded vertical spring executes $S.H.M.$ with a time period of $4\; sec$. The difference between the kinetic energy and potential energy of this system varies with a period of ........$sec$
  • A$2$
  • B$1$
  • C$8$
  • D$4$
AIPMT 1994, 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
    A simple pendulum of length $1\, m$ is oscillating with an angular frequency $10\, rad/s$. The support of the pendulum starts oscillating up and down with a small angular frequency of $1\, rad/s$ and an amplitude of $10^{-2}\, m$. The relative change in the angular frequency of the pendulum is best given by
    View Solution
  • 2
    A body is executing simple harmonic motion of amplitude $a$ and period $T$ about the equilibrium position $x=0$. Large numbers of snapshots are taken at random of this body in motion. The probability of the body being found in a very small interval $x$ to $x+|d x|$ is highest at
    View Solution
  • 3
    A particle executes a simple harmonic motion of time period $T$. Find the time taken by the particle to go directly from its mean position to half the amplitude
    View Solution
  • 4
    The plot of velocity $(v)$ versus displacement $(x)$ of a particle executing simple harmonic motion is shown in figure. The time period of oscillation of particle is .........
    View Solution
  • 5
    In the arrangement, spring constant $k$ has value $2\,N\,m^{-1}$ , mass $M = 3\,kg$ and mass $m = 1\,kg$ . Mass $M$ is in contact with a smooth surface. The coefficient of friction between two blocks is $0.1$ . The time period of $SHM$ executed by the system is
    View Solution
  • 6
    A spring executes $SHM$ with mass of $10\,kg$ attached to it. The force constant of spring is $10\,N/m$.If at any instant its velocity is $40\,cm/sec$, the displacement will be .... $m$ (where amplitude is $0.5\,m$)
    View Solution
  • 7
    $2$ particles $p$ and $q$ describe $SHM$ of same amplitude $a$ and same frequency $f$ along straight line, the maximum distance between the two particle $a\sqrt 2 $ . The initial phase difference between particle is
    View Solution
  • 8
    A particle of mass $m$ moves in the potential energy $U$ shown above. The period of the motion when the particle has total energy $E$ is
    View Solution
  • 9
    The periodic time of a simple pendulum of length $1\, m $ and amplitude $2 \,cm $ is $5\, seconds$. If the amplitude is made $4\, cm$, its periodic time in seconds will be
    View Solution
  • 10
    A particle is executing $S.H.M.$ with time period $T^{\prime}$. If time period of its total mechanical energy is $T$ then $\frac{T^{\prime}}{T}$ is ........
    View Solution