Q95 / 120 · VITEEE 2016 · Physics

A metallic bar is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$. The coeficient of linear expansion is $10^{-5} \mathrm{~K}^{-1}$. What will be the percentage increase in length?

  • A
    $0.01 \%$
  • Correct answer
    B
    $0.1 \%$
  • C
    $1 \%$
  • D
    $10 \%$

Solution

$\begin{aligned} \frac{\Delta \ell}{\ell}=\alpha \Delta \mathrm{T} &=10^{-5} \times 100=10^{-3} \\ \frac{\Delta \ell}{\ell} \times 100 \% &=10^{-3} \times 100 \\ &=10^{-1}=0.1 \% \end{aligned}$

Hence, the correct answer is option: 'B'.

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