JEE Mains · Physics · STD 11- 8. mechanical properties of solids
A uniform metallic wire is elongated by \(0.04\, m\) when subjected to a linear force \(F\). The elongation, if its length and diameter is doubled and subjected to the same force will be ..... \(cm .\)
- A \(2\)
- B \(0\)
- C \(1\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
\(F = Y.A \frac{\Delta \ell}{\ell}\) \(\Delta \ell=\frac{ F }{ Y.A } \cdot \ell\) \(\Delta \ell=\frac{ F \ell}{ Y \cdot \pi r ^{2}}\) \(\Delta \ell \propto \frac{\ell}{ r ^{2}}\)…
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