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AP EAMCET · PHYSICS · Mechanical Properties of Solids

A 4 kg stone attached at the end of a steel wire is being whirled at a constant speed \(12 \mathrm{~ms}^{-1}\) in a horizontal circle. The wire is 4 m long with a diameter 2.0 mm and young's modules of the steel is \(2 \times 10^{11} \mathrm{Nm}^{-2}\). The strain in the wire is.

  1. A \(2.3 \times 10^{-4}\)
  2. B \(2.3 \times 10^{-5}\)
  3. C \(4.6 \times 10^{-4}\)
  4. D \(6.9 \times 10^{-4}\)
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Answer & Solution

Correct Answer

(A) \(2.3 \times 10^{-4}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{M}=4 \mathrm{~kg}, \mathrm{v}=12 \mathrm{~m} / \mathrm{s}, \mathrm{l}=4 \mathrm{~m}, \mathrm{~d}=2 \mathrm{~mm}=2 \times 10^{-3} \mathrm{~m}\) \(\mathrm{Y}=2 \times 10^{11} \mathrm{Nm}^{-2}\) Force developed in the wire,…
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