WBJEE · Physics · Mechanical Properties of Solids
Two wires \(A\) and \(B\) of same length are made of same material. Load \((F)\) vs. elongation \((x)\) graph for these two wires is shown in the figure. Then which of the following statement(s) is / are true?
- A The cross-section area of \(A\) is greater than that of \(B\).
- B Young's modulus of \(A\) is greater than Young's modulus of \(B\).
- C The cross-sectional area of \(B\) is greater than that of \(A\).
- D Young's modulus of both A and B are same.
Answer & Solution
Correct Answer
(D) Young's modulus of both A and B are same.
Step-by-step Solution
Detailed explanation
same material have identical Young's Modulus. For a given strain and Young's Modulus. stress in same \[ \begin{aligned} &\frac{F_A}{A_A}=\frac{F_B}{A_B} \Rightarrow \frac{F_A}{F_B}=\frac{A_A}{A_B} \\ &\text { as } F_A>F_B, A_A>A_B \end{aligned} \]
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