An iron rod has a lenght of 50m temperature is 20° by how much will it expanel when the temperature rises to 30°c (take alper =0.0000 1k)
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Solution:
α=L1△T△L(1)L1=50cmL2=50.06cm△L=0.06cmT1=20℃T2=95℃△T=75℃
Putting value in (1) to find coefficient of Linear expansion
α=(50)(75)0.06α=16×10−6℃−1
Now, temperature at 0oC
Length at 0oC=L3
L3=L2(1+α△T)△T=0−20℃△T=−20℃L3=50[1+16×10−6×(−20)]L3=49.984cm
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