MHT CET · Physics · Mechanical Properties of Solids
A wire of Young's modulus \(1 \cdot 6 \times 10^{12} \mathrm{~N} / \mathrm{m}^{2}\) is stretched by a force so as to produce a strain of \(2 \times 10^{-4}\). The energy density of the wire is
- A \(3 \cdot 2 \times 10^{4} \mathrm{~J} / \mathrm{m}^{3}\)
- B \(3 \cdot 2 \times 10^{8} \mathrm{~J} / \mathrm{m}^{3}\)
- C \(1 \cdot 6 \times 10^{3} \mathrm{~J} / \mathrm{m}^{3}\)
- D \(6 \cdot 4 \times 10^{3} \mathrm{~J} / \mathrm{m}^{3}\)
Answer & Solution
Correct Answer
(A) \(3 \cdot 2 \times 10^{4} \mathrm{~J} / \mathrm{m}^{3}\)
Step-by-step Solution
Detailed explanation
Energy \(=1 / 2 \times Y \times(\text { Strain })^{2}\)
\(=1 / 2 \times 1.6 \times 10^{12} \times 4^{2} \times 10^{-8}\)
\(=3.2 \times 10^{4}\).
\(=1 / 2 \times 1.6 \times 10^{12} \times 4^{2} \times 10^{-8}\)
\(=3.2 \times 10^{4}\).
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