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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Oscillations

JEE Main 2004 · Physics · Oscillations

A particle at the end of a spring executes simple harmonic motion...

A particle at the end of a spring executes simple harmonic motion with a period t1t_1, while the corresponding period for another spring is t2t_2. If the period of oscillation with the two springs in series is t\mathrm{t}, then

Options

  1. AT=t1+t2\mathrm{T}=\mathrm{t}_1+\mathrm{t}_2
  2. B∝x2\propto \mathrm{x}^2
  3. CT−1=t1−1+t2−1\mathrm{T}^{-1}=\mathrm{t}_1^{-1}+\mathrm{t}_2^{-1}
  4. DT−2=t12+t22\mathrm{T}^{-2}=\mathrm{t}_1^2+\mathrm{t}_2^2

Correct answer

B. ∝x2\propto \mathrm{x}^2

Step-by-step solution

t12+t22=T2t_1^2+t_2^2=T^2
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