A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${f_2}$. Which of the following relations between the frequencies is correct
  • A${f_1} = \sqrt 2 {f_2}$
  • B${f_1} = {f_2}$
  • C${f_1} =2 {f_2}$
  • D${f_2} = \sqrt 2 {f_1}$
Easy
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
    The displacement of an object attached to a spring and executing simple harmonic motion is given by $ x= 2 \times 10^{-9}$ $ cos$ $\;\pi t\left( m \right)$ .The time at which the maximum speed first occurs is
    View Solution
  • 2
    Function $x$ = $A sin^2 wt + B cos^2 wt + C sin wt \  cos wt$ does not represents $SHM$ for this condition
    View Solution
  • 3
    A particle performs simple harmonic motion with amplitude $A$. Its speed is trebled at the instant that it is at a distance $\frac{{2A}}{3}$ from equilibrium position. The new amplitude of the motion is
    View Solution
  • 4
    An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass $M$. The piston and the cylinder have equal cross sectional area $A$. When the piston is in equilibrium, the volume of the gas is $V_0$ and its pressure is $P_ 0$. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency
    View Solution
  • 5
    Two particles are executing simple harmonic motion of the same amplitude $A$ and frequency $\omega$ along the $x-$axis. Their mean position is separated by distance $X_0(X_0 > A).$ If the maximum separation between them is $(X_0 + A)$, the phase difference between their motion is:
    View Solution
  • 6
    The $ P.E.$ of a particle executing $SHM$ at a distance $x$ from its equilibrium position is
    View Solution
  • 7
    A pendulum suspended from the ceiling of a train has a period $T$, when the train is at rest. When the train is accelerating with a uniform acceleration a, the period of oscillation will
    View Solution
  • 8
    In case of damped oscillation frequency of oscillation is ............
    View Solution
  • 9
    A $15 \,g$ ball is shot from a spring gun whose spring has a force constant of $600 \,N/m$. The spring is compressed by $5 \,cm$. The greatest possible horizontal range of the ball for this compression is .... $m$ ($g = 10 \,m/s^2$)
    View Solution
  • 10
    A particle executes simple harmonic motion. Its amplitude is $8 \,cm$ and time period is $6 \,s$. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ............. $s$
    View Solution