Question

A metallic bar is heated from \(0^\circ \, \text{C}\) to \(100^\circ \, \text{C}\). The coefficient of linear expansion is \(10^{-5} \, \text{K}^{-1}\). What will be the percentage increase in length?

• A. 0.01%
• B. 0.1%
• C. 1%
• D. 10%

Hint:

The change in length due to thermal expansion is directly proportional to the temperature change and the coefficient of linear expansion.

Answer 1

The Correct Option is B

Step 1: Formula for Length Change.
The change in length of a material due to temperature change is given by the formula: \[ \Delta L = \alpha L \Delta T \] where \( \alpha \) is the coefficient of linear expansion, \( L \) is the initial length, and \( \Delta T \) is the change in temperature.
Step 2: Calculating Percentage Increase.
The percentage increase in length is: \[ \text{Percentage Increase} = \frac{\Delta L}{L} \times 100 = 0.1%. \] Step 3: Conclusion.
The correct answer is (B), 0.1%.