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Question

An iron bar of length 10 m is heated from 00Cto1000C . If the coefficient of linear thermal expansion of iron is 10×106/0C the increases in the length of the bar is


A
0.5 cm
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B
1.0 cm
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C
1.5 cm
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D
2.0 cm
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Solution

The correct option is B 1.0 cm
The linear thermal expansion of an object can be expressed as
Δl=l0α(TT0)
where Δl= change in length of the object, l0= initial length, α= coefficient of linear thermal expansion, T= final temperature and T0= initial temperature.
So, Δ=10(10×106)(1000)=102m=1cm

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