Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio
Medium
Download our app for free and get startedPlay store
(a) $T \propto \frac{1}{{\sqrt k }}$

==> ${T_1}:{T_2}:{T_3} = \frac{1}{{\sqrt k }}:\frac{1}{{\sqrt {k/2} }}:\frac{1}{{\sqrt {2k} }} = 1:\sqrt 2 :\frac{1}{{\sqrt 2 }}$

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 particle executing $S.H.M.$ of amplitude 4 cm and $T = 4 \,sec.$ The time taken by it to move from positive extreme position to half the amplitude is ..... $\sec$
    View Solution
  • 2
    If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be
    View Solution
  • 3
    A man weighing $60\, kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\, m$ and frequency $\frac{2}{\pi }Hz$. Which of the following statement is correct
    View Solution
  • 4
    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
  • 5
    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
  • 6
    The periodic time of a body executing simple harmonic motion is $3\, sec$. After how much interval from time $t = 0$, its displacement will be half of its amplitude ..... $\sec$
    View Solution
  • 7
    Two particle executing $S.H.M.$ of same amplitude of $20 \,cm$ with same period along the same line about same equilibrium position. The maximum distance between the two is $20 \,cm$. Their phase difference in radian is equal to
    View Solution
  • 8
    The graph between velocity and position for a damped oscillation will be
    View Solution
  • 9
    The displacement $y(t) = A\,\sin \,(\omega t + \phi )$ of a pendulum for $\phi = \frac {2\pi }{3}$ is correctly represented by
    View Solution
  • 10
    Two springs with spring constants ${K_1} = 1500\,N/m$ and ${K_2} = 3000\,N/m$ are stretched by the same force. The ratio of potential energy stored in spring will be
    View Solution