$A$ silver rod of $100 \; cm$ at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length increases by $0.19 \; cm$. The coefficient of cubical expansion of the silver rod is:

  • A
    $5.7 \times 10^{-5} /{ }^{\circ} C$
  • B
    $0.63 \times 10^{-5} /{ }^{\circ} C$
  • C
    $1.9 \times 10^{-5} /{ }^{\circ} C$
  • D
    $16.1 \times 10^{-5} /{ }^{\circ} C$

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We would like to make a vessel whose volume does not change with temperature. We can use brass and iron $\left( {{\gamma _{{\text{brass}}}} = 6 \times {{10}^{ - 5}}/K} \right.$ and $\left. {{\gamma _{{\text{iron}}}} = 3.55 \times {{10}^{ - 5}}/K} \right)$ to create a volume of $100 \, cc$. How can you achieve this?

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