JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
When the temperature of a metal wire is increased from \(0^{\circ} \,C\) to \(10^{\circ}\, C\), its length increases by \(0.02 \% .\) The percentage change in its mass density will be closest to:
- A \(0.008\)
- B \(0.06\)
- C \(0.8\)
- D \(2.3\)
Answer & Solution
Correct Answer
(B) \(0.06\)
Step-by-step Solution
Detailed explanation
Given \(\frac{\Delta L }{ L }=0.02 \%\) \(\therefore \Delta L = L \alpha \Delta T \Rightarrow \frac{\Delta L }{ L }=\alpha \Delta T =0.02 \%\) \(\therefore \beta=2 \alpha\) (Areal coefficient of expansion) \(\Rightarrow \beta \Delta T =2 \alpha \Delta T =0.04 \%\) Volume \(=\)…
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