A particle executes $S.H.M.$ with amplitude $'a'$ and time period $V$. The displacement of the particle when its speed is half of maximum speed is $\frac{\sqrt{ x } a }{2} .$ The value of $x$ is $\ldots \ldots \ldots$
  • A$1$
  • B$5$
  • C$2$
  • D$3$
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
    A particle of mass $m$ is located in a one dimensional potential field where potential energy is given by : $V(x) = A(1 -cos\, px)$ ,

    where $A$ and $p$ are constant.

    The period of small oscillations of the particle is

    View Solution
  • 2
    Which of the following quantities are always negative in a $SHM$
    View Solution
  • 3
    Two bodies performing $SHM$ have same amplitude and frequency. Their phases at a certain instant are as shown in the figure. The phase difference between them is
    View Solution
  • 4
    Two masses $M_{A}$ and $M_{B}$ are hung from two strings of length $l_{A}$ and $l_{B}$ respectively. They are executing SHM with frequency relation $f_{A}=2 f_{B}$, then relation
    View Solution
  • 5
    The total energy of a particle executing S.H.M. is proportional to
    View Solution
  • 6
    A particle of mass $2 \,kg$, executing $SHM$ has amplitude $20 \,cm$ and time period $1 \,s$. Its maximum speed is ......... $m / s$
    View Solution
  • 7
    Two springs of force constants $300\, N / m$ (Spring $A$) and $400$ $N / m$ (Spring $B$ ) are joined together in series. The combination is compressed by $8.75\, cm .$ The ratio of energy stored in $A$ and $B$ is $\frac{E_{A}}{E_{B}} .$ Then $\frac{E_{A}}{E_{B}}$ is equal to
    View Solution
  • 8
    A particle of mass m is under the influence of a force $F$ which varies with the displacement $x$ according to the relation $F = - kx + {F_0}$ in which $k$ and ${F_0}$ are constants. The particle when disturbed will oscillate
    View Solution
  • 9
    When a particle of mass $m$ is attached to a vertical spring of spring constant $k$ and released, its motion is described by $y ( t )= y _{0} \sin ^{2} \omega t ,$ where $'y'$ is measured from the lower end of unstretched spring. Then $\omega$ is
    View Solution
  • 10
    A pendulum is formed by pivoting a disc. What distance from center of mass, it should be pivoted for minimum time period while performing $SHM$ ?
    View Solution