JEE Mains · Physics · STD 11- 8. mechanical properties of solids
Two wires each of radius \(0.2\,cm\) and negligible mass, one made of steel and other made of brass are loaded as shown in the figure. The elongation of the steel wire is \(.........\times 10^{-6}\,m\). [Young's modulus for steel \(=2 \times 10^{11}\,Nm ^{-2}\) and \(g =10\,ms ^{-2}\) ]
- A \(10\)
- B \(5\)
- C \(4\)
- D \(20\)
Answer & Solution
Correct Answer
(D) \(20\)
Step-by-step Solution
Detailed explanation
Tension in steel wire \(\quad T _2=2 g + T _1\) \(T _2=20+11.4\) \(=31.4\,N\) Elongation in steel wire \(\Delta L =\frac{ T _2 L }{ Ay }\) \(\Delta L =\frac{31.4 \times 1.6}{\pi\left(0.2 \times 10^{-2}\right)^2 \times 2 \times 10^{11}}\)…
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