Heat and Thermal ExpansionHard
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 =
Create a free account to view solution
View Solution FreeMore Heat and Thermal Expansion Questions
Four moles of hydrogen , teo moles of helium and one mole of water vapor from an ideal gas mixture. What is the molar sp...The specific heats of a gas are CP = 0.2 cal / g oC & CV = 0.15 cal / g oC .[Take R = 2 cal / mol oC]...The area of cross-section of rod is given by A = A0 where A0 & constant and x is the distance from one end. If thermal c...When two samples at different temperature are mixed, the temperature of the mixture can be : -...A brass wire of length 2 m and radius 1 mm at $27^{\circ}C$ is held taut between two rigid supports. Initially it was co...