Heat and Thermal ExpansionMedium
Question
The temperature of an isotropic cubical solid of length l0 density ρo and coefficient of liner expansion is increased by 20oC. Then at higher temperature, to a good approximation : -
Options
A.Length l0 (1 + 20α)
B.Total surface area is l02 (1 + 40α)
C.Total volume is l03 (1 + 60α)
D.Density is 
Solution
Length
l = l0 (1 + αᐃT) = l0 (1 + 20α)
Area
A = A0 (1 + βᐃT) = 6l02 (1 + 40α)
Volume
V = V0 (1 + γᐃT) = l03 (1 + 3αᐃT) = l03 (1 + 60α)
Density
ρ =
l = l0 (1 + αᐃT) = l0 (1 + 20α)
Area
A = A0 (1 + βᐃT) = 6l02 (1 + 40α)
Volume
V = V0 (1 + γᐃT) = l03 (1 + 3αᐃT) = l03 (1 + 60α)
Density
ρ =
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