Question

What is the formula for ∆L under the linearization concept?

Option 1: ∆L = L1 + L2
Option 2: ∆L = L1 - L2
Option 3: ∆L = L2 - L1
Option 4: ∆L = L1 * L2

Answer 1

The formula for change in length (ΔL) due to linear expansion is ΔL = αL0ΔT, and it relies on knowing the original length (L0), the material's coefficient of linear expansion (α), and the temperature change (ΔT).

Step-by-step explanation:

The formula for ΔL, which signifies the change in length of an object, generally comes from the concept of linear expansion in physics. The correct formula for linear expansion when an object is subjected to a change in temperature is ΔL = αL0ΔT where:

• α is the coefficient of linear expansion
• L0 is the original length of the object
• ΔT is the change in temperature

The listed option ΔL = L1 * L2 does not correspond to any known formula for the change in length under the concept of linearization or linear expansion in physics. To correctly apply the concept of linear expansion and calculate ΔL, one must have the original length, the material's coefficient of linear expansion, and the amount of temperature change.