For a body executing $S.H.M. :$

$(a)$ Potential energy is always equal to its $K.E.$

$(b)$ Average potential and kinetic energy over any given time interval are always equal.

$(c)$ Sum of the kinetic and potential energy at any point of time is constant.

$(d)$ Average $K.E.$ in one time period is equal to average potential energy in one time period.

Choose the most appropriate option from the options given below:

  • A$(c)$ and $(d)$
  • Bonly $(c)$
  • C$(b)$ and $(c)$
  • Donly $(b)$
JEE MAIN 2021, 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
    Which of the following expressions represent simple harmonic motion
    View Solution
  • 2
    A particle executes $S.H.M.$ and its position varies with time as $x=A$ sin $\omega t$. Its average speed during its motion from mean position to mid-point of mean and extreme position is
    View Solution
  • 3
    A particle execute $S.H.M.$ along a straight line. The amplitude of oscillation is $2 \,cm$. When displacement of particle from the mean position is $1 \,cm$, the magnitude of its acceleration is equal to magnitude of its velocity. The time period of oscillation is ........
    View Solution
  • 4
    A pendulum bob has a speed of $3\, m/s$ at its lowest position. The pendulum is $0.5\, m$ long. The speed of the bob, when the length makes an angle of ${60^o}$ to the vertical, will be ..... $m/s$ (If $g = 10\,m/{s^2}$)
    View Solution
  • 5
    A block of mass $0.1\, kg$ is connected to an elastic spring of spring constant $640\, Nm^{-1}$ and oscillates in a damping medium of damping constant $10^{-2}\, kg\,s^{-1}$ . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to ..... $s$
    View Solution
  • 6
    A simple pendulum hanging from the ceiling of a stationary lift has a time period $T_1$. When the lift moves downward with constant velocity, the time period is $T_2$, then
    View Solution
  • 7
    Time period of a simple pendulum is $T$. The time taken to complete $5 / 8$ oscillations starting from mean position is $\frac{\alpha}{\beta} T$. The value of $\alpha$ is ..... .
    View Solution
  • 8
    The period of simple pendulum is measured as $T$ in a stationary lift. If the lift moves upwards with an acceleration of $5\, g$, the period will be
    View Solution
  • 9
    A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillations with a time period $T$. If the mass is increased by m then the time period becomes $\left( {\frac{5}{4}T} \right)$. The ratio of $\frac{m}{{M}}$ is
    View Solution
  • 10
    The total energy of a particle executing simple harmonic motion is
    View Solution