In the figure given below. a block of mass $M =490\,g$ placed on a frictionless table is connected with two springs having same spring constant $\left( K =2 N m ^{-1}\right)$. If the block is horizontally displaced through ' $X$ 'm then the number of complete oscillations it will make in $14 \pi$ seconds will be $.........$
  • A$20$
  • B$21$
  • C$19$
  • D$26$
JEE MAIN 2023, 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
    Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the $x-$ projection of the radius vector of the rotating particle $P$ is
    View Solution
  • 2
    Two simple harmonic motions are represented by equations ${y_1} = 4\,\sin \,\left( {10t + \phi } \right)$ and ${y_2} = 5\,\cos \,10\,t$ What is the phase difference between their velocities?
    View Solution
  • 3
    A particle executes $S.H.M.$ with a period of $6$ second and amplitude of $3\, cm$. Its maximum speed in $cm/sec$ is
    View Solution
  • 4
    $Assertion :$ The time-period of pendulum, on a satellite orbiting the earth is infinity.
    $Reason :$ Time-period of a pendulum is inversely proportional to $\sqrt g$
    View Solution
  • 5
    The displacement of a particle is represented by the equation $y = sin^3\,\,\,\omega t$ . The motion is
    View Solution
  • 6
    Two particle executing $S.H.M.$ of same amplitude of $20 \,cm$ with same period along the same line about same equilibrium position. The maximum distance between the two is $20 \,cm$. Their phase difference in radian is equal to
    View Solution
  • 7
    $Assertion :$ In simple harmonic motion, the motion is to and fro and periodic
    $Reason :$ Velocity of the particle $(v) = \omega \sqrt {k^2 - x^2}$ (where $x$ is the displacement).
    View Solution
  • 8
    Abody performs simple harmonic oscillations along the straight line $ABCDE$ with $C$ as the midpoint of $AE.$ Its kinetic energies at $B$ and $D$ are each one fourth of its maximum value. If $AE = 2R,$ the distance between $B$ and $D$ is
    View Solution
  • 9
    What is constant in S.H.M.
    View Solution
  • 10
    $Assertion :$ The amplitude of an oscillating pendulum decreases gradually with time
    $Reason :$ The frequency of the pendulum decreases with time.
    View Solution