The amplitude of a particle executing $SHM$ is made three-fourth keeping its time period constant. Its total energy will be
  • A$\frac{E}{2}$
  • B$\frac{3}{4}E$
  • C$\frac{9}{{16}}E$
  • D
    None of these
Easy
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 mass $m$ is suspended by means of two coiled spring which have the same length in unstretched condition as in figure. Their force constant are $k_1$ and $k_2$ respectively. When set into vertical vibrations, the period will be
    View Solution
  • 2
    The particle executing simple harmonic motion has a kinetic energy $K_0cos^2 \omega t$. The maximum values of the potential energy and the total energy are respectively
    View Solution
  • 3
    $Assertion :$ In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
    $Reason :$ Displacement and velocity of $S.H.M.$ differ in phase by $\frac{\pi }{2}$
    View Solution
  • 4
    A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle $\theta $ with the vertical
    View Solution
  • 5
    Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to $A$ and $T,$  respectively. At time $t=0$ one particle has displacement $A$ while the other one has displacement $\frac {-A}{2}$ and they are moving towards each other. If they cross each other at time $t,$ then $t$ is
    View Solution
  • 6
    A man weighing $60\, kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\, m$ and frequency $\frac{2}{\pi }Hz$. Which of the following statement is correct
    View Solution
  • 7
    A system exhibiting S.H.M. must possess
    View Solution
  • 8
    A body is executing $S.H.M.$ When its displacement from the mean position is $4\, cm$ and $5\, cm$, the corresponding velocity of the body is $10 \,cm/sec$ and $8\, cm/sec$. Then the time period of the body is
    View Solution
  • 9
    $y = 2\, (cm)\, sin\,\left[ {\frac{{\pi t}}{2} + \phi } \right]$ what is the maximum acceleration of the particle doing the $S.H.M.$
    View Solution
  • 10
    The displacement of a particle along the $x-$ axis is given by $x=asin^2$$\omega t$ . The motion of the particle corresponds to 
    View Solution