Question

Length $v/s$ Temperature graph of $A$ and $B$ is given below. Find the relation between ${\alpha }_A$ and ${\alpha }_B.$

• A. ${\alpha }_A>{\alpha }_B$
• B. ${\alpha }_A={\alpha }_B$
• C. ${\alpha }_A<{\alpha }_B$
• D. can't say

Answer 1

Answer: (C)

$\Delta L=L\propto \Delta T$
slope $\Rightarrow \frac{\Delta L}{\Delta T}=L\alpha$
${\left(Slope\right)}_A<{\left(Slope\right)}_B;L_A{\left(\alpha \right)}_A<L_B$
$\because L_A=L_B$ therefore $\therefore \left({\left(\alpha \right)}_A<{\left(\alpha \right)}_B\right)$