JEE Mains · Physics · STD 11- 8. mechanical properties of solids
Young’s moduli of two wires \(A\) and \(B\) are in the ratio \(7 : 4\). Wire \(A\) is \(2\, m\) long and has radius \(R\). Wire \(A\) is \(2\, m\) long and has radius \(R\). Wire \(B\) is \(1.5\, m\) long and has radius \(2\, mm\). If the two wires stretch by the same length for a given load, then the value of \(R\) is close to ......... \(mm\)
- A \(1.3\)
- B \(1.5\)
- C \(1.7\)
- D \(1.9\)
Answer & Solution
Correct Answer
(C) \(1.7\)
Step-by-step Solution
Detailed explanation
Given: \(\frac{{{Y_A}}}{{{Y_B}}} = \frac{7}{4}\,\,\,{L_A} = 2m\,\,\,{A_A} = \pi {R^2}\) \({L_B} = 1.5\,m\,\,\,\,\,\,\,\,{A_B} = \pi {\left( {2mm} \right)^2}\) \(\frac{F}{A} = Y\left( {\frac{\ell }{L}} \right)\)…
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