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JEE Main 2002
Exam
JEE Main
Year
2002
Subject
Physics
Chapter
Oscillations

JEE Main 2002 · Physics · Oscillations

If a spring has time period T, and is cut into n equal parts, then...

If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

Options

  1. ATn\mathrm{T} \sqrt{\mathrm{n}}
  2. BT/n\mathrm{T} / \sqrt{\mathrm{n}}
  3. CnT\mathrm{nT}
  4. DT\mathrm{T}

Correct answer

B. T/n\mathrm{T} / \sqrt{\mathrm{n}}

Step-by-step solution

Spring constant becomes nn times for each piece. T=2πm/kT1T2=nKK or T=2 \pi \sqrt{\mathrm{m} / \mathrm{k}}\frac{T_1}{T_2}=\frac{\sqrt{n K}}{K} \text{ or }T_2=T / n\sqrt{n}
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