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MHT CET · Physics · Mechanical Properties of Solids

Two wires of same length and material are stretched by same force. If their masses are in the ratio \(3: 4\), then the ratio of their elongations is

  1. A \(\frac{4}{3}\)
  2. B \(\frac{5}{3}\)
  3. C \(\frac{1}{3}\)
  4. D \(\frac{2}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{4}{3}\)

Step-by-step Solution

Detailed explanation

When Two wires have the same material and length, but their masses are in the ratio of \(4: 3\). If they are stretched by the same force, their elongation will be in the ratio of \(3: 4\).This depends on the stress and strain concept.
We know that \(\mathrm{m} 1 / \mathrm{m} 2=\mathrm{a} 1 / \mathrm{a} 2=4 / 3\) and length is directly proportional to area so the answer will be \(3 / 4=3: 4\)
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