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TS EAMCET · Physics · Oscillations

A force of \(6.4 \mathrm{~N}\) stretches a vertical spring by \(0.1 \mathrm{~m}\). If it were to oscillate with a period of \(\frac{\pi}{4}\) then the mass that is to be suspended from the spring is

  1. A \(\frac{\pi}{4} \mathrm{~kg}\)
  2. B \(1 \mathrm{~kg}\)
  3. C \(\frac{1}{\pi} \mathrm{kg}\)
  4. D \(10 \mathrm{~kg}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1 \mathrm{~kg}\)

Step-by-step Solution

Detailed explanation

Time period, \(\mathrm{T}=\frac{\pi}{4}\) Force \(\mathrm{F}=6.4 \mathrm{~N}\) \(\mathrm{x}=0.1 \mathrm{~m}\) Spring force, \(\mathrm{F}=\mathrm{kx}\) \[ \begin{aligned} & 6.4=k \times 0.1 \\ & k=64 \end{aligned} \] Time period,…
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