Practice question
Question
A metal cube has a volume of 1000cm3 at 0∘C. What will be its volume at 100∘C if the coefficient of volume expansion is 5.4×10−5K−1?
Explanation
Given: V0 = 1000cm3, ΔT = 100∘C, αv = 5.4×10−5K−1. ΔV = V0αvΔT = 1000×5.4×10−5×100 = 5.4cm3. New volume: V = V0+ΔV = 1000+5.4 = 1005.4cm3. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1005.4 cm³. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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