A particle of mass $m$ is performing linear simple harmonic motion. Its equilibrium is at $x = 0,$ force constant is $K$ and amplitude of $SHM$ is $A$. The maximum power supplied by the restoring force to the particle during $SHM$ will be
  • A$\frac{{{K^{\frac{3}{2}}}{A^2}}}{{\sqrt m }}$
  • B$\frac{{2{K^{\frac{3}{2}}}{A^2}}}{{\sqrt m }}$
  • C$\frac{{{K^{\frac{3}{2}}}{A^2}}}{{3\sqrt m }}$
  • D$\frac{{{K^{\frac{3}{2}}}{A^2}}}{{2\sqrt m }}$
Diffcult
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 particle executes simple harmonic motion along a straight line with an amplitude $A$. The potential energy is maximum when the displacement is
    View Solution
  • 2
    The variation of kinetic energy $(KE)$ of a particle executing simple harmonic motion with the displacement $(x)$ starting from mean position to extreme position $(A)$ is given by
    View Solution
  • 3
    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
  • 4
    In the following questions, match column $-I$ with column $-II$ and choose the correct options
    View Solution
  • 5
    A body performs $S.H.M.$ Its kinetic energy $K$ varies with time $t$ as indicated by graph
    View Solution
  • 6
    The variation of the acceleration $a$ of the particle executing $S.H.M.$ with displacement $x$ is as shown in the figure
    View Solution
  • 7
    A small body of mass $0.10\, kg$ is executing $S.H.M.$ of amplitude $1.0 \,m$ and period $0.20\, sec$. The maximum force acting on it is.... $N$
    View Solution
  • 8
    A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when its displacement is $\frac{2 \mathrm{~A}}{3}$. The new amplitude of motion is $\frac{\mathrm{nA}}{3}$. The value of $\mathrm{n}$ is____.
    View Solution
  • 9
    Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motion
    View Solution
  • 10
    The displacement $y(t) = A\,\sin \,(\omega t + \phi )$ of a pendulum for $\phi = \frac {2\pi }{3}$ is correctly represented by
    View Solution