The frequency of oscillations of a mass $m$ connected horizontally by a spring of spring constant $k$ is $4 Hz$. When the spring is replaced by two identical spring as shown in figure. Then the effective frequency is,
  • A$4 \sqrt{2}$
  • B$1.5$
  • C$1.31$
  • D$2 \sqrt{2}$
AIIMS 2016, 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 pendulum is swinging in an elevator. Its period will be greatest when the elevator is
    View Solution
  • 2
    The amplitude of a particle executing $SHM$ is $4 \,cm$. At the mean position the speed of the particle is $16\, cm/sec$. The distance of the particle from the mean position at which the speed of the particle becomes $8\sqrt 3 \,cm/s,$ will be .... $cm$
    View Solution
  • 3
    What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?
    View Solution
  • 4
    In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
    View Solution
  • 5
    The potential energy of a particle $\left(U_x\right)$ executing $S.H.M$. is given by
    View Solution
  • 6
    Displacement-time equation of a particle executing $SHM$ is $x\, = \,A\,\sin \,\left( {\omega t\, + \,\frac{\pi }{6}} \right)$ Time taken by the particle to go directly from $x\, = \, - \frac{A}{2}$ to $x\, = \, + \frac{A}{2}$ is
    View Solution
  • 7
    The angular velocities of three bodies in simple harmonic motion are ${\omega _1},\,{\omega _2},\,{\omega _3}$ with their respective amplitudes as ${A_1},\,{A_2},\,{A_3}$. If all the three bodies have same mass and velocity, then
    View Solution
  • 8
    Speed $v$ of a particle moving along a straight line, when it is at a distance $x$ from a fixed point on the line is given by $v^2 = 108 - 9x^2$ (all quantities in $S.I.$ unit). Then
    View Solution
  • 9
    The $K.E.$ and $P.E.$ of a particle executing $SHM$ with amplitude $A$ will be equal when its displacement is
    View Solution
  • 10
    A mass $m$ is vertically suspended from a spring of negligible mass; the system oscillates with a frequency $n$. What will be the frequency of the system if a mass $4 m$ is suspended from the same spring
    View Solution