Q53 / 60 · IAT (IISER) 2019 · Physics

A solid block on a frictionless surface is connected to two rigid supports on the left and right side by springs of spring constants $k$ and $4 k$ respectively as shown in the figure. The time spent by the block in a complete cycle of oscillation on the left and the right side of the equilibrium position are $t_L$ and $t_R$, respectively. Which of the following is correct?
Figure

  • A
    $t_L=2 t_R$
  • B
    $t_L=t_R / 2$
  • Correct answer
    C
    $t_L=t_R$
  • D
    $t_L=4 t_R$

Hence, the correct answer is option: 'C'.

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