Question

The change in length ((ΔL)) of a metal with initial length ((L₀)), coefficient of linear expansion ((α)), and exposed to a change in temperature ((ΔT)), is given by:

a) (ΔL = αL₀ΔT)

b) (ΔL = α / L₀ΔT)

c) (ΔL = αL₀ / ΔT)

d) (ΔL = 1 / αL₀ΔT)

Answer 1

The change in length of a metal with initial length L₀, coefficient of linear expansion α, and exposed to a change in temperature ΔT is given by the equation ΔL = αL₀ΔT. Therefore, option a) is correct.

Step-by-step explanation:

The change in length of a metal with initial length L₀, coefficient of linear expansion α, and exposed to a change in temperature ΔT is given by the equation:

ΔL = αL₀ΔT

This equation describes how the change in length (ΔL) of a metal is proportional to its initial length (L₀), the coefficient of linear expansion (α), and the change in temperature (ΔT). The coefficient of linear expansion is a material property that varies slightly with temperature. Therefore, option a) is the correct answer.