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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?
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Verified Answer
The correct answers are:
The cross-section area of $A$ is greater than that of $B$., Young's modulus of both A and B are same.
same material have identical Young's Modulus.
For a given strain and Young's Modulus.
stress in same
$$
\begin{aligned}
&\frac{F_A}{A_A}=\frac{F_B}{A_B} \Rightarrow \frac{F_A}{F_B}=\frac{A_A}{A_B} \\
&\text { as } F_A>F_B, A_A>A_B
\end{aligned}
$$
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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