Question

a 1% expansion of material volume typically require temperature increase of the order of ------- of degree Celsius?

Answer 1

this question is based on the concepts of $\textbf{volumetric thermal expansion}$.

we know, $\Delta V=V_0\gamma\Delta T$
here, ∆V denotes the change in volume after increasing the temperature ∆T, $V_0$ denotes initial volume and $\gamma$ denotes the coefficient of volume expansion.

according to observations,
coefficient of volume expansion generally in order $10^{-6}$/°C or /K.
now ,a/c to question, expansion of volume of material is 1%
e.g., $\Delta V=0.01V_0$

so, $0.01V_0=V_0\times10^{-6}\Delta T$
or, $\Delta T=10^4$

hence, for 1% expansion of volume of material typically require temperature increase of the order 10⁴ of degree Celsius.