A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K _1$ and $K _2$. For the frictionless surface, the time period of oscillation of mass $m$ is
  • A$\frac{1}{2 \pi} \sqrt{\frac{ K _1+ K _2}{ m }}$
  • B$\frac{1}{2 \pi} \sqrt{\frac{ K _1- K _2}{ m }}$
  • C$2 \pi \sqrt{\frac{ m }{ K _1+ K _2}}$
  • D$2 \pi \sqrt{\frac{m}{K_1-K_2}}$
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
    In case of a simple pendulum, time period versus length is depicted by
    View Solution
  • 2
    The displacement equation of a particle is $x = 3\sin 2t + 4\cos 2t.$ The amplitude and maximum velocity will be respectively
    View Solution
  • 3
    If pendulum is released from given position find velocity of Bob when it reaches the lowest position
    View Solution
  • 4
    The displacement of a particle executing $SHM$ is given by $y=0.25 \sin 200 t$ $cm$. The maximum speed of the particle is $.........cm s^{-1}$
    View Solution
  • 5
    $Assertion :$ 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
  • 6
    A simple pendulum of length $l$ is made to oscillate with an amplitude of $45$ degrees. The acceleration due to gravity is $g$. Let $T_0=2 \pi \sqrt{l / g}$. The time period of oscillation of this pendulum will be
    View Solution
  • 7
    A bar of mass $m$ is suspended horizontally on two vertical springs of spring constant $k$ and $3k$ . The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar (Neglect mass of springs and friction everywhere).
    View Solution
  • 8
    A simple pendulum of length $1\, m$ is oscillating with an angular frequency $10\, rad/s$. The support of the pendulum starts oscillating up and down with a small angular frequency of $1\, rad/s$ and an amplitude of $10^{-2}\, m$. The relative change in the angular frequency of the pendulum is best given by
    View Solution
  • 9
    The periodic time of a simple pendulum of length $1\, m $ and amplitude $2 \,cm $ is $5\, seconds$. If the amplitude is made $4\, cm$, its periodic time in seconds will be
    View Solution
  • 10
    A spring is stretched by $5 \,\mathrm{~cm}$ by a force $10 \,\mathrm{~N}$. The time period of the oscillations when a mass of $2 \,\mathrm{~kg}$ is suspended by it is :(in $s$)
    View Solution