Question

What is the length of an aluminum rod at 65°C if its length at 15°C is 1.2 meters? A. 0.00180 meter B. 1.201386 meters C. 1.214855 meters D. 0.001386 meter

Answer 1

B. 1.201386 meters

Step-by-step explanation:

The length of an aluminum rod at 65°C if its length at 15°C is 1.2 meters is 1.201386 meters.

Answer 2

Option B is the correct answer.

Step-by-step explanation:

Thermal expansion

`\Delta L=L\alpha \Delta T`

L = 1.2 meter

ΔT = 65 - 15 = 50°C

Thermal Expansion Coefficient for aluminum, α = 24 x 10⁻⁶/°C

We have change in length

`\Delta L=L\alpha \Delta T=1.2* 24* 10^(-6)* 50=1.44* 10^(-3)m`

New length = 1.2 + 1.44 x 10⁻³ = 1.2014 m

Option B is the correct answer.