A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of
  • A$(2/3)k$
  • B$(3/2)k$
  • C$3k$
  • D$6k$
IIT 1999, 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
    Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance $( R / 2)$ from the earth's centre, where $'R'$ is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period
    View Solution
  • 2
    If particle is executing simple harmonic motion with time period $T$, then the time period of its total mechanical energy is ...........
    View Solution
  • 3
    Resonance is an example of
    View Solution
  • 4
    Dispacement time graph of a particle executing $SHM$ is as shown in the figure. Corresponding graph between $PE$ and time is
    View Solution
  • 5
    The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where $E$ is the total energy)
    View Solution
  • 6
    A rectangular block of mass $5\,kg$ attached to a horizontal spiral spring executes simple harmonic motion of amplitude $1\,m$ and time period $3.14\,s$. The maximum force exerted by spring on block is $.......N$.
    View Solution
  • 7
    The displacement of a particle varies according to the relation $x = 3 \ sin\ 100t + 8\  cos^2\  50t$ . Which of the following is incorrect about this motion
    View Solution
  • 8
    The maximum potential energy of a block executing simple harmonic motion is $25\,J$. A is amplitude of oscillation. At $A / 2$, the kinetic energy of the block is $...............$
    View Solution
  • 9
    A simple perdulum performs simple harmonic motion about $x=0$ with an amplitude $a$ and time period $T$. The speed of the pendulum at $x=a/2$ will be
    View Solution
  • 10
    A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration $a$, then the time period is given by $T = 2\pi \sqrt {\frac{l}{{g'}}} $, where $g'$ is equal to
    View Solution