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Question: A metallic bar is heated from 0<sup>0</sup>C to 100<sup>0</sup>C. The coefficient of linear expansio...

A metallic bar is heated from 00C to 1000C. The coefficient of linear expansion is 10–5 K–1 . What will be the percentage increase in length ?

A

(a) 0.01 %

A

(b) 0.1 %

A

(c) 1 %

A

(d) 10 %

Explanation

Solution

(b)

Δll\frac{\Delta\mathcal{l}}{\mathcal{l}} = aDT = 10–5 × 100 = 10–3

Δll\frac{\Delta\mathcal{l}}{\mathcal{l}} × 100% = 10–3 × 100 = 10–1 = 0.1%