L^3=gammaShow the dervationIn thermal physis And relations between them
L^3=gamma
Show the dervation
In thermal physis And relations between them
nithin bm padthare , 6 Years ago
Grade 11
Thermal Physics> L^3=gamma Show the dervation In thermal p...
1 Answers
Arun
This is regarding linear , areal, volume expansion of substances.
ΔL = α L ΔT
Area of a square sheet of dimensions L * L:
= A+ΔA = (L+ α L ΔT)² = L² + 2 α L² ΔT ignoring α² terms (too small).
ΔA = 2 α A ΔT
β = ΔA/A = 2 α
= A+ΔA = (L+ α L ΔT)² = L² + 2 α L² ΔT ignoring α² terms (too small).
ΔA = 2 α A ΔT
β = ΔA/A = 2 α
Volume = V = L³
Changed volume = V+ ΔV = (L + α L ΔT)³
= L³ + 3 α L³ ΔT + terms with α² or α³ ignored (too small)
ΔV = 3 α V ΔT
Changed volume = V+ ΔV = (L + α L ΔT)³
= L³ + 3 α L³ ΔT + terms with α² or α³ ignored (too small)
ΔV = 3 α V ΔT
=> gamma = ΔV/V = 3 α
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