TS EAMCET · Physics · Mechanical Properties of Solids
A wire of cross-sectional area \(10^{-6} \mathrm{~m}^2\) is elongated by \(0.1 \%\) when the tension in it is 1000 N . The Young's modulus of the material of the wire is (Assume radius of the wire is constant)
- A \(10^{11} \mathrm{Nm}^{-2}\)
- B \(10^{12} \mathrm{Nm}^{-2}\)
- C \(10^{10} \mathrm{Nm}^{-2}\)
- D \(10^9 \mathrm{Nm}^{-2}\)
Answer & Solution
Correct Answer
(B) \(10^{12} \mathrm{Nm}^{-2}\)
Step-by-step Solution
Detailed explanation
For the wire, \(A=10^{-6} \mathrm{~m}^2, \varepsilon=0.1 \%=1 \times 10^{-3}\), \(\mathrm{T}=1000 \mathrm{~N}\) \(\therefore\) Young's modulus, \(Y=\frac{T}{A . \varepsilon}=\frac{1000}{10^{-6} \times 1 \times 10^{-3}}=10^{12} \mathrm{Nm}^{-2}\)
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