A thin metallic square plate has length l when it is heated from 0C to 100C it's length increases by 1%what is the%increase in the area of the plate?
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2
Answer:
Given:
ΔT=100−0=100°C
ΔL/L=length=L=1%=1/100=0.01
ΔL=αLΔT
ΔL/L=αx100
0.01=αx100
α=0.01/100=1×10
−4
Given Area of copper plate =2LxL=2L
2
By thermal expansion theory,
ΔA=βAΔT
ΔA/A=βΔT
but,
β=2α
ΔA/A=2αΔT
=2×1×10
−
4×100
=2×10
−
2
ΔA/A×100=2×10
−2
×100=2%
Explanation:
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1
Answer:
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