The length of a metallic rod is $5 \, m$ at $0^{\circ}C$ and becomes $5.01 \, m$ on heating up to $100^{\circ}C$. The coefficient of linear expansion of the metal is:

  • A
    $2.33 \times 10^{-5} \, ^{\circ}C^{-1}$
  • B
    $6.0 \times 10^{-5} \, ^{\circ}C^{-1}$
  • C
    $4.0 \times 10^{-5} \, ^{\circ}C^{-1}$
  • D
    $2.0 \times 10^{-5} \, ^{\circ}C^{-1}$

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$A$ cylinder has a piston at a temperature of $30^{\circ} C$. There is an all-round clearance of $0.08 \ mm$ between the piston and the cylinder wall. If the internal diameter of the cylinder is $15 \ cm$,what is the temperature at which the piston will fit into the cylinder exactly (in $^{\circ} C$)? $(\alpha_p = 1.6 \times 10^{-5} /^{\circ} C$ and $\alpha_c = 1.2 \times 10^{-5} /^{\circ} C)$

$A$ meter scale made of steel reads accurately at $25^{\circ} C$. Suppose in an experiment an accuracy of $0.06 \,mm$ in $1 \,m$ is required, the range of temperature in which the experiment can be performed with this meter scale is (Coefficient of linear expansion of steel is $11 \times 10^{-6} /{ }^{\circ} C$)

When a copper ball is heated,which of the following will show the maximum percentage increase?

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