The volume of a metal sphere increases by 0.15%, when its temperature is raised by 24∘C. The coefficient of linear expansion of metal is:
A
2.5×10−5/∘C
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B
2.0×10−5/∘C
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C
−1.5×10−5/∘C
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D
1.2×10−5/∘C
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Solution
The correct option is B2.0×10−5/∘C Coefficient of volumetric expansion γ=ΔVV×1ΔT γ=0.15100×124 We know that, Coefficient of linear expansion α=γ3 α=0.15100×124×13=2.0×10−5/∘C