A particle starts simple harmonic motion from the mean position. Its amplitude is $a$ and total energy $E$. At one instant its kinetic energy is $3E/4.$ Its displacement at that instant is
  • A${y}={a}$
  • B$y=\frac{a}{2}$
  • C$y=\frac{a \sqrt{3}}{2}$
  • D$y=\frac{a}{\sqrt{2}}$
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
    Two identical springs have the same force constant $73.5 \,Nm ^{-1}$. The elongation produced in each spring in three cases shown in Figure-$1$, Figure-$2$ and Figure-$3$ are $\left(g=9.8 \,ms ^{-2}\right)$
    View Solution
  • 2
    For a particle showing motion under the force $F=-5(x-2)^2$, the motion is .......
    View Solution
  • 3
    An object of mass $0.2\, kg$ executes simple harmonic along $X-$ axis with frequency of $\frac{{25}}{\pi }Hz$. At the position $x = 0.04m$, the object has kinetic energy of $0.5 \,J$ and potential energy of $0.4\, J$ amplitude of oscillation in meter is equal to
    View Solution
  • 4
    The period of a simple pendulum, whose bob is a hollow metallic sphere, is $T$.The period is $T_1$ when the bob is filled with sand, $T_2$ when it is filled with mercury and $T_3$ when it is half filled with mercury. Which of the following is true
    View Solution
  • 5
    The length of a simple pendulum is increased by $2\%$. Its time period will
    View Solution
  • 6
    The graph shown was obtained from experimental measurements of the period of oscillations $T$ for different masses $M$ placed in the scale pan on the lower end of the spring balance. The most likely reason for the line not passing through the origin is that the
    View Solution
  • 7
    The equation of $SHM$ of a particle is given as

    $2\,\frac{{{d^2}x}}{{d{t^2}}} + 32x = 0$

    where $x$ is the displacement from the mean position of rest. The period of its oscillation (in seconds) is

    View Solution
  • 8
    What is constant in S.H.M.
    View Solution
  • 9
    There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is $T$. If the resultant acceleration becomes $g/4,$ then the new time period of the pendulum is
    View Solution
  • 10
    An object of mass $0.2\  kg$ executes simple harmonic along $X-$ axis with frequency of $\frac{{25}}{\pi } Hz$ . At the position $x$ =  $0.04\ m$ , the object has kinetic energy of $0.5\  J$ and potential energy of $0.4\  J$ amplitude of oscillation in meter is equal to
    View Solution