A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
  • A$\frac{T}{\sqrt{2}}$
  • B$2 T$
  • C$\frac{T}{2}$
  • D$\frac{T}{2 \sqrt{2}}$
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 amplitude and the periodic time of a $S.H.M.$ are $ 5\,cm$ and $6\,sec$ respectively. At a distance of $2.5\,cm$ away from the mean position, the phase will be
    View Solution
  • 2
    A $ U$ tube of uniform bore of cross-sectional area $A$ has been set up vertically with open ends facing up. Now $m$ gm of a liquid of density $d$ is poured into it. The column of liquid in this tube will oscillate with a period $T$ such that
    View Solution
  • 3
    When a mass $m$ is attached to a spring, it normally extends by $0.2\, m$. The mass $m$ is given a slight addition extension and released, then its time period will be
    View Solution
  • 4
    If $< E >$ and $< U >$  denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
    View Solution
  • 5
    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
  • 6
    A body is performing simple harmonic motion with amplitude a and time period $T$. Variation of its acceleration $(f)$ with time $(t)$ is shown in figure. If at time $t$, velocity of the body is $v$, which of the following graphs is correct
    View Solution
  • 7
    The vertical extension in a light spring by a weight of $1\, kg$ suspended from the wire is $9.8\, cm$. The period of oscillation
    View Solution
  • 8
    A particle of mass $m$ is attached to three identical springs $A, B$ and $C$ each of force constant $ k$ a shown in figure. If the particle of mass $m$ is pushed slightly against the spring $A$ and released then the time period of oscillations is
    View Solution
  • 9
    Initially system is in equilibrium. Time period of $SHM$ of block in vertical direction is
    View Solution
  • 10
    A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of $2 ms ^{-1}$ in front of the open end of the pipe and parallel to it, the length of the pipe should be changed for the resonance to occur with the moving tuning fork. If the speed of sound in air is $320 ms ^{-1}$, the smallest value of the percentage change required in the length of the pipe is. . . . . .
    View Solution