COMEDK · Physics · 12. Thermal Properties of Matter
If the coefficient of volume expansion of brass is \(6 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\), then fractional change in its density for a \(60^{\circ} \mathrm{C}\) rise in temperature will be
- A \(2 \times 10^{-6}\)
- B \(10^{-6}\)
- C \(3.6 \times 10^{-5}\)
- D \(-3.6 \times 10^{-3}\)
Answer & Solution
Correct Answer
(D) \(-3.6 \times 10^{-3}\)
Step-by-step Solution
Detailed explanation
Density at temperature \(T\) is given by \(\begin{aligned} \rho & =\rho_0(1-\alpha \Delta T) \\ \rho & =\rho_0-\rho_0 \alpha \Delta T \\ \Rightarrow \quad \frac{\rho-\rho_0}{\rho_0} & =-\alpha \Delta T \end{aligned}\) \(\therefore\) Fractional change in density,…
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