Heat and Thermal ExpansionHard
Question
A steel tape is placed around the earth at the equator when the temperature is 10oC. What will be the clearance between the tape and the ground (assumed to be uniform) if the temperature of the tape rise to 40oC ? Neglect expansion of the earth. Radius of earth at equator is 6400 km & αsteel = 1.2 × 10-5K-1
Options
A.2.3 m
B. 2.1 m
C.2.3 km
D.230 m
Solution
Clearance = R′- R but 2πR′ = 2πR (1 + α sᐃT)
⇒ R′- R = RαsᐃT = (6400) (1.2 × 10-5) (30) = 2.3 km
⇒ R′- R = RαsᐃT = (6400) (1.2 × 10-5) (30) = 2.3 km
Create a free account to view solution
View Solution FreeMore Heat and Thermal Expansion Questions
The variation of lengths of two metal rods A and B with change in temperature is shown in figure. The ratio of is : -...A vessel is partitioned two equal halves by a fixed diathermy separator. Two different ideal gasses are filled in left (...Four containers are filled with monoatomic ideal gases. For each container, the number of moles, the mass of an individu...Pressure versus temperature graph of an ideal gas is shown in figure. Density of the gas at point A is. ρ0 Density ...A brass disc simply in a steel plate. The disc from the hole can be loosened if the system (αbrass > αsteel...