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General Science • PhysicsMedium

In a laboratory experiment investigating thermal expansion, a metallic rod of initial length one meter expands by one millimeter when its temperature is raised by one hundred degrees Celsius. What is the coefficient of linear expansion of this metal?

A. Ten to the power of minus five per Kelvin✓ Correct Answer
B. Ten to the power of minus four per Kelvin
C. Ten to the power of minus six per Kelvin
D. Ten to the power of minus three per Kelvin

💡 Solution & Explanation

The coefficient of linear expansion is defined as the fractional change in length per unit change in temperature. Dividing the change in length of one millimeter by the initial length of one meter and the temperature change of one hundred degrees Celsius yields ten to the power of minus five per Kelvin. Incorrect options reflect arithmetic errors in converting millimeters to meters or mishandling exponents. Thermal expansion must be accounted for in railway track design and bridge construction to prevent buckling.

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