An iron bar of length 10 m is heated from 0°C to 100°C. If the coefficient of linear thermal expansion of iron is 10 X 10^-6 / °C , the increase in the length of bar is
(a) 0.5 cm (b) 1.0 cm (c) 1.5 cm (d) 2.0 cm
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2
Answer:
The linear thermal expansion of an object can be expressed as
Δl=l
0
α(T−T
0
)
where Δl= change in length of the object, l
0
= initial length, α= coefficient of linear thermal expansion, T= final temperature and T
0
= initial temperature.
So, Δ=10(10×10
−6
)(100−0)=10
−2
m=1cm
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