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 .... $\sec$
  • A$1/1.57$
  • B$1.57$
  • C$2$
  • D$4$
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 displacement equations of two interfering waves are given by

    $y_1  =10 \sin \left(\omega t+\frac{\pi}{3}\right) cm$

    $y_2 =5[\sin (\omega t)+\sqrt{3} \cos \omega t] \;cm$ respectively.

    The amplitude of the resultant wave is $.............cm$.

    View Solution
  • 2
    If a Second's pendulum is moved to a planet where acceleration due to gravity is $4$ times, the length of the second's pendulum on the planet should be made .......... times
    View Solution
  • 3
    The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure. The potential energy ${U}({x})$ versus time $({t})$ plot of the particle is correctly shown in figure:
    View Solution
  • 4
    A pendulum is suspended in a lift and its period of oscillation when the lift is stationary is  $T_0$. What must be the acceleration of the lift for the period of oscillation of the  pendulum to be $T_0/2$ ?
    View Solution
  • 5
    The $K.E.$ and $P.E.$ of a particle executing $SHM$ with amplitude $A$ will be equal when its displacement is-
    View Solution
  • 6
    A particle is executing $SHM$ along a straight line. Its velocities at distance $x_1$ and $x_2$ from the mean position are $V_1$ and $V_2$ respectively. Its time period is
    View Solution
  • 7
    A uniform rod of length $2.0 \,m$ is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately .... $\sec$
    View Solution
  • 8
    The displacement y of a particle executing periodic motion is given by $y = 4{\cos ^2}(t/2)\sin (1000t)$. This expression may be considered to be a result of the superposition of ........... independent harmonic motions
    View Solution
  • 9
    A simple harmonic wave having an amplitude a and time period $T$ is represented by the equation $y = 5\sin \pi (t + 4)m.$ Then the value of amplitude $(a)$ in $(m)$ and time period $(T) $ in second are
    View Solution
  • 10
    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