If $< E >$ and $< U >$  denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
  • A$< E >=< U >$
  • B$< E >=2 < U >$
  • C$< E >=-2 < U >$
  • D$< E >=- < U >$
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
    The maximum speed of a particle executing $S.H.M.$ is $1\,m/s$ and its maximum acceleration is $1.57\,m/se{c^2}$. The time period of the particle will be .... $\sec$
    View Solution
  • 2
    Two particles $P$ and $Q$ describe simple harmonic motions of same period, same amplitude, along the same line about the same equilibrium position $O.$ When $P$ and $Q$ are on opposite sides of $O$ at the same distance from $O$ they have the same speed of $1.2 \,m/s$ in the same direction, when their displacements are the same they have the same speed of $1.6\, m/s$ in opposite directions. The maximum velocity in $m/s$ of either particle is
    View Solution
  • 3
    A point particle is acted upon by a restoring force $-k x^{3}$. The time-period of oscillation is $T$, when the amplitude is $A$. The time-period for an amplitude $2 A$ will be
    View Solution
  • 4
    A point mass oscillates along the x-axis according to the law $x=x_0cos$$\left( {\omega t - \frac{\pi }{4}} \right)$ If the acceleration of the particle is written as $a=Acos$$\left( {\omega t + \delta } \right)$ then
    View Solution
  • 5
    In the situation as shown in figure time period of vertical oscillation of block for small displacements will be 
    View Solution
  • 6
    A simple pendulum with length  $L$ and mass $m$ of the bob is vibrating with an amplitude $A$. The maximum tension in the string is
    View Solution
  • 7
    The equation of simple harmonic motion may not be expressed as (each term has its usual meaning)
    View Solution
  • 8
    If particle is executing simple harmonic motion with time period $T$, then the time period of its total mechanical energy is ...........
    View Solution
  • 9
    The length of a spring is $l$ and its force constant is $k$. When a weight $W$ is suspended from it, its length increases by $x$. If the spring is cut into two equal parts and put in parallel and the same weight $W$ is suspended from them, then the extension will be
    View Solution
  • 10
    Identify the correct statement 
    View Solution