Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass $=500\, g$, Decay constant $=20 \,g / s$ then ...... $s$ time is required for the amplitude of the system to drop to half of its initial value ? $(\ln 2=0.693)$
  • A$34.65$
  • B$17.32$
  • C$0.034$
  • D$15.01$
JEE MAIN 2021, 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
    Length of a simple pendulum is $l$ and its maximum angular displacement is $\theta$, then its maximum $K.E.$ is
    View Solution
  • 2
    For a simple pendulum, a graph is plotted between its kinetic energy $(KE)$ and potential energy $(PE)$ against its displacement $d.$ Which one of the following represents these correctly ? (graphs are schematic and not drawn to scale)
    View Solution
  • 3
    The angular frequency of motion whose equation is $4\frac{{{d^2}y}}{{d{t^2}}} + 9y = 0$ is ($y =$ displacement and $t =$ time)
    View Solution
  • 4
    A system of two identical rods ($L-$ shaped) of mass $m$ and length $l$ are resting on a peg $P$ as shown in the figure. If the system is displaced in its plane by a small angle $\theta ,$ find the period of oscillations :
    View Solution
  • 5
    Consider a one-dimensional potential $V(x)$ as shown in the figure below. A classical particle of mass $m$ moves under its influence and has total energy $E$ as shown below. The motion is
    View Solution
  • 6
    The displacement of a particle is represented by the equation $y = sin^3\,\,\,\omega t$ . The motion is
    View Solution
  • 7
    A body is performing simple harmonic with an amplitude of $10 \,cm$. The velocity of the body was tripled by air Jet when it is at $5 \,cm$ from its mean position. The new amplitude of vibration is $\sqrt{ x } \,cm$. The value of $x$ is________
    View Solution
  • 8
    For a particle showing motion under the force $F=-5(x-2)$, the motion is ...........
    View Solution
  • 9
    The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
    View Solution
  • 10
    In the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
    View Solution